(y+50)(y-32)=

Solution for (y+50)(y-32)= equation:

Simplifying
(y + 50)(y + -32) = 0

Reorder the terms:
(50 + y)(y + -32) = 0

Reorder the terms:
(50 + y)(-32 + y) = 0

Multiply (50 + y) * (-32 + y)
(50(-32 + y) + y(-32 + y)) = 0
((-32 * 50 + y * 50) + y(-32 + y)) = 0
((-1600 + 50y) + y(-32 + y)) = 0
(-1600 + 50y + (-32 * y + y * y)) = 0
(-1600 + 50y + (-32y + y2)) = 0

Combine like terms: 50y + -32y = 18y
(-1600 + 18y + y2) = 0

Solving
-1600 + 18y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-50 + -1y)(32 + -1y) = 0

Subproblem 1
Set the factor '(-50 + -1y)' equal to zero and attempt to solve:

Simplifying
-50 + -1y = 0

Solving
-50 + -1y = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1y = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1y = 0 + 50
-1y = 0 + 50

Combine like terms: 0 + 50 = 50
-1y = 50

Divide each side by '-1'.
y = -50

Simplifying
y = -50
Subproblem 2
Set the factor '(32 + -1y)' equal to zero and attempt to solve:

Simplifying
32 + -1y = 0

Solving
32 + -1y = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1y = 0 + -32
-1y = 0 + -32

Combine like terms: 0 + -32 = -32
-1y = -32

Divide each side by '-1'.
y = 32

Simplifying
y = 32
Solution
y = {-50, 32}