Basic Math Examples

Solve for y (5y+5)(10y+5)=100
Step 1
Simplify .
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Step 1.1
Expand using the FOIL Method.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Apply the distributive property.
Step 1.1.3
Apply the distributive property.
Step 1.2
Simplify and combine like terms.
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Step 1.2.1
Simplify each term.
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Step 1.2.1.1
Rewrite using the commutative property of multiplication.
Step 1.2.1.2
Multiply by by adding the exponents.
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Step 1.2.1.2.1
Move .
Step 1.2.1.2.2
Multiply by .
Step 1.2.1.3
Multiply by .
Step 1.2.1.4
Multiply by .
Step 1.2.1.5
Multiply by .
Step 1.2.1.6
Multiply by .
Step 1.2.2
Add and .
Step 2
Subtract from both sides of the equation.
Step 3
Subtract from .
Step 4
Factor out of .
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Step 4.1
Factor out of .
Step 4.2
Factor out of .
Step 4.3
Factor out of .
Step 4.4
Factor out of .
Step 4.5
Factor out of .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .
Step 6
Use the quadratic formula to find the solutions.
Step 7
Substitute the values , , and into the quadratic formula and solve for .
Step 8
Simplify.
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Step 8.1
Simplify the numerator.
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Step 8.1.1
Raise to the power of .
Step 8.1.2
Multiply .
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Step 8.1.2.1
Multiply by .
Step 8.1.2.2
Multiply by .
Step 8.1.3
Add and .
Step 8.2
Multiply by .
Step 9
The final answer is the combination of both solutions.
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form: