Pre-Algebra Examples

Solve for X X(X-1)=2(X-1)(X+5)(X-4)(X-4)
Step 1
Simplify .
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Step 1.1
Simplify by multiplying through.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Simplify the expression.
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Step 1.1.2.1
Multiply by .
Step 1.1.2.2
Move to the left of .
Step 1.2
Rewrite as .
Step 2
Simplify .
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Step 2.1
Simplify by multiplying through.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.2
Expand using the FOIL Method.
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Step 2.2.1
Apply the distributive property.
Step 2.2.2
Apply the distributive property.
Step 2.2.3
Apply the distributive property.
Step 2.3
Simplify and combine like terms.
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Step 2.3.1
Simplify each term.
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Step 2.3.1.1
Multiply by by adding the exponents.
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Step 2.3.1.1.1
Move .
Step 2.3.1.1.2
Multiply by .
Step 2.3.1.2
Multiply by .
Step 2.3.1.3
Multiply by .
Step 2.3.2
Subtract from .
Step 2.4
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2.5
Simplify terms.
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Step 2.5.1
Simplify each term.
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Step 2.5.1.1
Multiply by by adding the exponents.
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Step 2.5.1.1.1
Move .
Step 2.5.1.1.2
Multiply by .
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Step 2.5.1.1.2.1
Raise to the power of .
Step 2.5.1.1.2.2
Use the power rule to combine exponents.
Step 2.5.1.1.3
Add and .
Step 2.5.1.2
Multiply by .
Step 2.5.1.3
Multiply by by adding the exponents.
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Step 2.5.1.3.1
Move .
Step 2.5.1.3.2
Multiply by .
Step 2.5.1.4
Multiply by .
Step 2.5.1.5
Multiply by .
Step 2.5.2
Simplify by adding terms.
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Step 2.5.2.1
Combine the opposite terms in .
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Step 2.5.2.1.1
Add and .
Step 2.5.2.1.2
Add and .
Step 2.5.2.2
Subtract from .
Step 2.6
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2.7
Simplify terms.
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Step 2.7.1
Simplify each term.
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Step 2.7.1.1
Multiply by by adding the exponents.
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Step 2.7.1.1.1
Move .
Step 2.7.1.1.2
Multiply by .
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Step 2.7.1.1.2.1
Raise to the power of .
Step 2.7.1.1.2.2
Use the power rule to combine exponents.
Step 2.7.1.1.3
Add and .
Step 2.7.1.2
Multiply by .
Step 2.7.1.3
Multiply by by adding the exponents.
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Step 2.7.1.3.1
Move .
Step 2.7.1.3.2
Multiply by .
Step 2.7.1.4
Multiply by .
Step 2.7.1.5
Multiply by .
Step 2.7.2
Add and .
Step 3
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 4