(w+12)(w-15)=0

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Solution for (w+12)(w-15)=0 equation: 


Simplifying
(w + 12)(w + -15) = 0

Reorder the terms:
(12 + w)(w + -15) = 0

Reorder the terms:
(12 + w)(-15 + w) = 0

Multiply (12 + w) * (-15 + w)
(12(-15 + w) + w(-15 + w)) = 0
((-15 * 12 + w * 12) + w(-15 + w)) = 0
((-180 + 12w) + w(-15 + w)) = 0
(-180 + 12w + (-15 * w + w * w)) = 0
(-180 + 12w + (-15w + w2)) = 0

Combine like terms: 12w + -15w = -3w
(-180 + -3w + w2) = 0

Solving
-180 + -3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-12 + -1w)(15 + -1w) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(15 + -1w)' equal to zero and attempt to solve:

Simplifying
15 + -1w = 0

Solving
15 + -1w = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1w = 0 + -15
-1w = 0 + -15

Combine like terms: 0 + -15 = -15
-1w = -15

Divide each side by '-1'.
w = 15

Simplifying
w = 15
Solution
w = {-12, 15}

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