(W+3)(W-2)=150

Solution for (W+3)(W-2)=150 equation:

Simplifying
(W + 3)(W + -2) = 150

Reorder the terms:
(3 + W)(W + -2) = 150

Reorder the terms:
(3 + W)(-2 + W) = 150

Multiply (3 + W) * (-2 + W)
(3(-2 + W) + W(-2 + W)) = 150
((-2 * 3 + W * 3) + W(-2 + W)) = 150
((-6 + 3W) + W(-2 + W)) = 150
(-6 + 3W + (-2 * W + W * W)) = 150
(-6 + 3W + (-2W + W2)) = 150

Combine like terms: 3W + -2W = 1W
(-6 + 1W + W2) = 150

Solving
-6 + 1W + W2 = 150

Solving for variable 'W'.

Reorder the terms:
-6 + -150 + 1W + W2 = 150 + -150

Combine like terms: -6 + -150 = -156
-156 + 1W + W2 = 150 + -150

Combine like terms: 150 + -150 = 0
-156 + 1W + W2 = 0

Factor a trinomial.
(-13 + -1W)(12 + -1W) = 0

Subproblem 1
Set the factor '(-13 + -1W)' equal to zero and attempt to solve:

Simplifying
-13 + -1W = 0

Solving
-13 + -1W = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1W = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1W = 0 + 13
-1W = 0 + 13

Combine like terms: 0 + 13 = 13
-1W = 13

Divide each side by '-1'.
W = -13

Simplifying
W = -13
Subproblem 2
Set the factor '(12 + -1W)' equal to zero and attempt to solve:

Simplifying
12 + -1W = 0

Solving
12 + -1W = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1W = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1W = 0 + -12
-1W = 0 + -12

Combine like terms: 0 + -12 = -12
-1W = -12

Divide each side by '-1'.
W = 12

Simplifying
W = 12
Solution
W = {-13, 12}