Algebra Examples

Solve for x (x+4)^2-2x-5=(x-1)^2
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Rewrite as .
Step 1.3
Expand using the FOIL Method.
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Step 1.3.1
Apply the distributive property.
Step 1.3.2
Apply the distributive property.
Step 1.3.3
Apply the distributive property.
Step 1.4
Simplify and combine like terms.
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Step 1.4.1
Simplify each term.
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Step 1.4.1.1
Multiply by .
Step 1.4.1.2
Move to the left of .
Step 1.4.1.3
Rewrite as .
Step 1.4.1.4
Rewrite as .
Step 1.4.1.5
Multiply by .
Step 1.4.2
Subtract from .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Add to both sides of the equation.
Step 2.3
Combine the opposite terms in .
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Step 2.3.1
Add and .
Step 2.3.2
Add and .
Step 2.4
Simplify each term.
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Step 2.4.1
Rewrite as .
Step 2.4.2
Expand using the FOIL Method.
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Step 2.4.2.1
Apply the distributive property.
Step 2.4.2.2
Apply the distributive property.
Step 2.4.2.3
Apply the distributive property.
Step 2.4.3
Simplify and combine like terms.
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Step 2.4.3.1
Simplify each term.
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Step 2.4.3.1.1
Multiply by .
Step 2.4.3.1.2
Move to the left of .
Step 2.4.3.1.3
Multiply by .
Step 2.4.3.2
Add and .
Step 2.5
Combine the opposite terms in .
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Step 2.5.1
Subtract from .
Step 2.5.2
Add and .
Step 2.6
Subtract from .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
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
Cancel the common factor of and .
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Step 4.3.1.1
Factor out of .
Step 4.3.1.2
Cancel the common factors.
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Step 4.3.1.2.1
Factor out of .
Step 4.3.1.2.2
Cancel the common factor.
Step 4.3.1.2.3
Rewrite the expression.
Step 4.3.2
Move the negative in front of the fraction.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: