(W+5)(W-2)=

Solution for (W+5)(W-2)= equation:

Simplifying
(W + 5)(W + -2) = 0

Reorder the terms:
(5 + W)(W + -2) = 0

Reorder the terms:
(5 + W)(-2 + W) = 0

Multiply (5 + W) * (-2 + W)
(5(-2 + W) + W(-2 + W)) = 0
((-2 * 5 + W * 5) + W(-2 + W)) = 0
((-10 + 5W) + W(-2 + W)) = 0
(-10 + 5W + (-2 * W + W * W)) = 0
(-10 + 5W + (-2W + W2)) = 0

Combine like terms: 5W + -2W = 3W
(-10 + 3W + W2) = 0

Solving
-10 + 3W + W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(-5 + -1W)(2 + -1W) = 0

Subproblem 1
Set the factor '(-5 + -1W)' equal to zero and attempt to solve:

Simplifying
-5 + -1W = 0

Solving
-5 + -1W = 0

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

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

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

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

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

Simplifying
W = -5
Subproblem 2
Set the factor '(2 + -1W)' equal to zero and attempt to solve:

Simplifying
2 + -1W = 0

Solving
2 + -1W = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1W = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1W = 0 + -2
-1W = 0 + -2

Combine like terms: 0 + -2 = -2
-1W = -2

Divide each side by '-1'.
W = 2

Simplifying
W = 2
Solution
W = {-5, 2}