Basic Math Examples

Solve for y (y+10)^2=2y+19
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Simplify each term.
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Step 1.2.1
Rewrite as .
Step 1.2.2
Expand using the FOIL Method.
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Step 1.2.2.1
Apply the distributive property.
Step 1.2.2.2
Apply the distributive property.
Step 1.2.2.3
Apply the distributive property.
Step 1.2.3
Simplify and combine like terms.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Multiply by .
Step 1.2.3.1.2
Move to the left of .
Step 1.2.3.1.3
Multiply by .
Step 1.2.3.2
Add and .
Step 1.3
Subtract from .
Step 2
Subtract from both sides of the equation.
Step 3
Subtract from .
Step 4
Factor using the perfect square rule.
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Step 4.1
Rewrite as .
Step 4.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 4.3
Rewrite the polynomial.
Step 4.4
Factor using the perfect square trinomial rule , where and .
Step 5
Set the equal to .
Step 6
Subtract from both sides of the equation.