(w-2)(w+5)=

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

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

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

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

Multiply (-2 + w) * (5 + w)
(-2(5 + w) + w(5 + w)) = 0
((5 * -2 + w * -2) + w(5 + w)) = 0
((-10 + -2w) + w(5 + w)) = 0
(-10 + -2w + (5 * w + w * w)) = 0
(-10 + -2w + (5w + w2)) = 0

Combine like terms: -2w + 5w = 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}