Algebra Examples

Solve for x x^2-1=(x+1)(x-1)
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
Expand using the FOIL Method.
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Step 2.3.1
Apply the distributive property.
Step 2.3.2
Apply the distributive property.
Step 2.3.3
Apply the distributive property.
Step 2.4
Simplify and combine like terms.
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Step 2.4.1
Simplify each term.
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Step 2.4.1.1
Multiply by .
Step 2.4.1.2
Move to the left of .
Step 2.4.1.3
Rewrite as .
Step 2.4.1.4
Multiply by .
Step 2.4.1.5
Multiply by .
Step 2.4.2
Add and .
Step 2.4.3
Add and .
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
Combine the opposite terms in .
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Step 3.2.1
Subtract from .
Step 3.2.2
Subtract from .
Step 4
Since , the equation will always be true for any value of .
All real numbers
Step 5
The result can be shown in multiple forms.
All real numbers
Interval Notation: