Basic Math Examples

Solve for y (70+2y)(50+2y)=(70*50)+244
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
Multiply by .
Step 1.2.1.2
Multiply by .
Step 1.2.1.3
Multiply by .
Step 1.2.1.4
Rewrite using the commutative property of multiplication.
Step 1.2.1.5
Multiply by by adding the exponents.
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Step 1.2.1.5.1
Move .
Step 1.2.1.5.2
Multiply by .
Step 1.2.1.6
Multiply by .
Step 1.2.2
Add and .
Step 2
Simplify .
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Step 2.1
Multiply by .
Step 2.2
Add and .
Step 3
Subtract from both sides of the equation.
Step 4
Subtract from .
Step 5
Factor the left side of the equation.
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Step 5.1
Factor out of .
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Step 5.1.1
Factor out of .
Step 5.1.2
Factor out of .
Step 5.1.3
Factor out of .
Step 5.1.4
Factor out of .
Step 5.1.5
Factor out of .
Step 5.2
Let . Substitute for all occurrences of .
Step 5.3
Factor using the AC method.
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Step 5.3.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 5.3.2
Write the factored form using these integers.
Step 5.4
Factor.
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Step 5.4.1
Replace all occurrences of with .
Step 5.4.2
Remove unnecessary parentheses.
Step 6
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 7
Set equal to and solve for .
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Step 7.1
Set equal to .
Step 7.2
Add to both sides of the equation.
Step 8
Set equal to and solve for .
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Step 8.1
Set equal to .
Step 8.2
Subtract from both sides of the equation.
Step 9
The final solution is all the values that make true.