Algebra Examples

Solve for x 5x^2(3x+6)=3(5x^3+10x^2+x-9)
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Rewrite.
Step 2.2
Simplify by adding zeros.
Step 2.3
Apply the distributive property.
Step 2.4
Simplify.
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Step 2.4.1
Multiply by .
Step 2.4.2
Multiply by .
Step 2.4.3
Multiply by .
Step 3
Simplify .
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Step 3.1
Simplify by multiplying through.
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Step 3.1.1
Apply the distributive property.
Step 3.1.2
Simplify the expression.
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Step 3.1.2.1
Rewrite using the commutative property of multiplication.
Step 3.1.2.2
Multiply by .
Step 3.2
Simplify each term.
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Step 3.2.1
Multiply by by adding the exponents.
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Step 3.2.1.1
Move .
Step 3.2.1.2
Multiply by .
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Step 3.2.1.2.1
Raise to the power of .
Step 3.2.1.2.2
Use the power rule to combine exponents.
Step 3.2.1.3
Add and .
Step 3.2.2
Multiply by .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Combine the opposite terms in .
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Step 4.3.1
Subtract from .
Step 4.3.2
Add and .
Step 4.3.3
Subtract from .
Step 4.3.4
Add and .
Step 5
Add to both sides of the equation.
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Divide by .