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

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Solution for 2(w-12)(w+10)=0 equation: 


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

Reorder the terms:
2(-12 + w)(w + 10) = 0

Reorder the terms:
2(-12 + w)(10 + w) = 0

Multiply (-12 + w) * (10 + w)
2(-12(10 + w) + w(10 + w)) = 0
2((10 * -12 + w * -12) + w(10 + w)) = 0
2((-120 + -12w) + w(10 + w)) = 0
2(-120 + -12w + (10 * w + w * w)) = 0
2(-120 + -12w + (10w + w2)) = 0

Combine like terms: -12w + 10w = -2w
2(-120 + -2w + w2) = 0
(-120 * 2 + -2w * 2 + w2 * 2) = 0
(-240 + -4w + 2w2) = 0

Solving
-240 + -4w + 2w2 = 0

Solving for variable 'w'.

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

Factor a trinomial.
2((-10 + -1w)(12 + -1w)) = 0

Ignore the factor 2.

Subproblem 1
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 2
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 = {-10, 12}

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