(w+9)(w-15)=0

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Solution for (w+9)(w-15)=0 equation: 


Simplifying
(w + 9)(w + -15) = 0

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

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

Multiply (9 + w) * (-15 + w)
(9(-15 + w) + w(-15 + w)) = 0
((-15 * 9 + w * 9) + w(-15 + w)) = 0
((-135 + 9w) + w(-15 + w)) = 0
(-135 + 9w + (-15 * w + w * w)) = 0
(-135 + 9w + (-15w + w2)) = 0

Combine like terms: 9w + -15w = -6w
(-135 + -6w + w2) = 0

Solving
-135 + -6w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -1w)(15 + -1w) = 0


Subproblem 1
Set the factor '(-9 + -1w)' equal to zero and attempt to solve:

Simplifying
-9 + -1w = 0

Solving
-9 + -1w = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Divide each side by '-1'.
w = -9

Simplifying
w = -9

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 = {-9, 15}

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