Pre-Algebra Examples

Solve by Graphing (x-5)(x^2+5x+25)=0
Step 1
Simplify .
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Step 1.1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 1.2
Simplify terms.
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Step 1.2.1
Simplify each term.
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Step 1.2.1.1
Multiply by by adding the exponents.
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Step 1.2.1.1.1
Multiply by .
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Step 1.2.1.1.1.1
Raise to the power of .
Step 1.2.1.1.1.2
Use the power rule to combine exponents.
Step 1.2.1.1.2
Add and .
Step 1.2.1.2
Rewrite using the commutative property of multiplication.
Step 1.2.1.3
Multiply by by adding the exponents.
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Step 1.2.1.3.1
Move .
Step 1.2.1.3.2
Multiply by .
Step 1.2.1.4
Move to the left of .
Step 1.2.1.5
Multiply by .
Step 1.2.1.6
Multiply by .
Step 1.2.2
Combine the opposite terms in .
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Step 1.2.2.1
Subtract from .
Step 1.2.2.2
Add and .
Step 1.2.2.3
Subtract from .
Step 1.2.2.4
Add and .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3