Algebra Examples

Solve for x 4x(5x+7)=4(5x^2+8x+4)
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by multiplying through.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Simplify the expression.
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Step 1.2.2.1
Rewrite using the commutative property of multiplication.
Step 1.2.2.2
Multiply by .
Step 1.3
Simplify each term.
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Step 1.3.1
Multiply by by adding the exponents.
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Step 1.3.1.1
Move .
Step 1.3.1.2
Multiply by .
Step 1.3.2
Multiply by .
Step 2
Simplify .
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Step 2.1
Apply the distributive property.
Step 2.2
Simplify.
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Step 2.2.1
Multiply by .
Step 2.2.2
Multiply by .
Step 2.2.3
Multiply by .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from both sides of the equation.
Step 3.3
Combine the opposite terms in .
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Step 3.3.1
Subtract from .
Step 3.3.2
Add and .
Step 3.4
Subtract from .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .