(y+7)(y-8)=

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Solution for (y+7)(y-8)= equation: 


Simplifying
(y + 7)(y + -8) = 0

Reorder the terms:
(7 + y)(y + -8) = 0

Reorder the terms:
(7 + y)(-8 + y) = 0

Multiply (7 + y) * (-8 + y)
(7(-8 + y) + y(-8 + y)) = 0
((-8 * 7 + y * 7) + y(-8 + y)) = 0
((-56 + 7y) + y(-8 + y)) = 0
(-56 + 7y + (-8 * y + y * y)) = 0
(-56 + 7y + (-8y + y2)) = 0

Combine like terms: 7y + -8y = -1y
(-56 + -1y + y2) = 0

Solving
-56 + -1y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(8 + -1y) = 0


Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-7, 8}

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