(w)(w+10)(w-12)=0

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Solution for (w)(w+10)(w-12)=0 equation: 


Simplifying
(w)(w + 10)(w + -12) = 0

Reorder the terms:
w(10 + w)(w + -12) = 0

Reorder the terms:
w(10 + w)(-12 + w) = 0

Multiply (10 + w) * (-12 + w)
w(10(-12 + w) + w(-12 + w)) = 0
w((-12 * 10 + w * 10) + w(-12 + w)) = 0
w((-120 + 10w) + w(-12 + w)) = 0
w(-120 + 10w + (-12 * w + w * w)) = 0
w(-120 + 10w + (-12w + w2)) = 0

Combine like terms: 10w + -12w = -2w
w(-120 + -2w + w2) = 0
(-120 * w + -2w * w + w2 * w) = 0
(-120w + -2w2 + w3) = 0

Solving
-120w + -2w2 + w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-120 + -2w + w2) = 0

Factor a trinomial.
w((-10 + -1w)(12 + -1w)) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-10 + -1w)' equal to zero and attempt to solve:

Simplifying
-10 + -1w = 0

Solving
-10 + -1w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1w = 0 + 10
-1w = 0 + 10

Combine like terms: 0 + 10 = 10
-1w = 10

Divide each side by '-1'.
w = -10

Simplifying
w = -10

Subproblem 3
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 = {0, -10, 12}

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