Algebra Examples

Find the Roots (Zeros) 9x^2-1-(3x-2)^2=0
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Rewrite as .
Step 1.1.2
Expand using the FOIL Method.
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Step 1.1.2.1
Apply the distributive property.
Step 1.1.2.2
Apply the distributive property.
Step 1.1.2.3
Apply the distributive property.
Step 1.1.3
Simplify and combine like terms.
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Step 1.1.3.1
Simplify each term.
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Step 1.1.3.1.1
Rewrite using the commutative property of multiplication.
Step 1.1.3.1.2
Multiply by by adding the exponents.
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Step 1.1.3.1.2.1
Move .
Step 1.1.3.1.2.2
Multiply by .
Step 1.1.3.1.3
Multiply by .
Step 1.1.3.1.4
Multiply by .
Step 1.1.3.1.5
Multiply by .
Step 1.1.3.1.6
Multiply by .
Step 1.1.3.2
Subtract from .
Step 1.1.4
Apply the distributive property.
Step 1.1.5
Simplify.
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Step 1.1.5.1
Multiply by .
Step 1.1.5.2
Multiply by .
Step 1.1.5.3
Multiply by .
Step 1.2
Simplify by adding terms.
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Step 1.2.1
Combine the opposite terms in .
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Step 1.2.1.1
Subtract from .
Step 1.2.1.2
Subtract from .
Step 1.2.2
Subtract from .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3