(y+7)(y-5)=

Solution for (y+7)(y-5)= equation:

Simplifying
(y + 7)(y + -5) = 0

Reorder the terms:
(7 + y)(y + -5) = 0

Reorder the terms:
(7 + y)(-5 + y) = 0

Multiply (7 + y) * (-5 + y)
(7(-5 + y) + y(-5 + y)) = 0
((-5 * 7 + y * 7) + y(-5 + y)) = 0
((-35 + 7y) + y(-5 + y)) = 0
(-35 + 7y + (-5 * y + y * y)) = 0
(-35 + 7y + (-5y + y2)) = 0

Combine like terms: 7y + -5y = 2y
(-35 + 2y + y2) = 0

Solving
-35 + 2y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(5 + -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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-7, 5}