Pre-Algebra Examples

Solve for w 9w^2+25=-30w
Step 1
Add to both sides of the equation.
Step 2
Factor using the perfect square rule.
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Step 2.1
Rearrange terms.
Step 2.2
Rewrite as .
Step 2.3
Rewrite as .
Step 2.4
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 2.5
Rewrite the polynomial.
Step 2.6
Factor using the perfect square trinomial rule , where and .
Step 3
Set the equal to .
Step 4
Solve for .
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
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: