Algebra Examples

Solve for x 4(3x-3)^(2/3)=36
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor.
Step 1.2.2
Divide by .
Step 1.3
Simplify the right side.
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Step 1.3.1
Divide by .
Step 2
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 3
Simplify the exponent.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Multiply the exponents in .
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Step 3.1.1.1.1
Apply the power rule and multiply exponents, .
Step 3.1.1.1.2
Cancel the common factor of .
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Step 3.1.1.1.2.1
Cancel the common factor.
Step 3.1.1.1.2.2
Rewrite the expression.
Step 3.1.1.1.3
Cancel the common factor of .
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Step 3.1.1.1.3.1
Cancel the common factor.
Step 3.1.1.1.3.2
Rewrite the expression.
Step 3.1.1.2
Simplify.
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Simplify the expression.
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Step 3.2.1.1.1
Rewrite as .
Step 3.2.1.1.2
Apply the power rule and multiply exponents, .
Step 3.2.1.2
Cancel the common factor of .
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Step 3.2.1.2.1
Cancel the common factor.
Step 3.2.1.2.2
Rewrite the expression.
Step 3.2.1.3
Raise to the power of .
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Add to both sides of the equation.
Step 4.2.2
Add and .
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Divide by .
Step 4.4
Next, use the negative value of the to find the second solution.
Step 4.5
Move all terms not containing to the right side of the equation.
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Step 4.5.1
Add to both sides of the equation.
Step 4.5.2
Add and .
Step 4.6
Divide each term in by and simplify.
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Step 4.6.1
Divide each term in by .
Step 4.6.2
Simplify the left side.
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Step 4.6.2.1
Cancel the common factor of .
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Step 4.6.2.1.1
Cancel the common factor.
Step 4.6.2.1.2
Divide by .
Step 4.6.3
Simplify the right side.
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Step 4.6.3.1
Divide by .
Step 4.7
The complete solution is the result of both the positive and negative portions of the solution.