-2(w-5)(-w-2)=

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


Simplifying
-2(w + -5)(-1w + -2) = 0

Reorder the terms:
-2(-5 + w)(-1w + -2) = 0

Reorder the terms:
-2(-5 + w)(-2 + -1w) = 0

Multiply (-5 + w) * (-2 + -1w)
-2(-5(-2 + -1w) + w(-2 + -1w)) = 0
-2((-2 * -5 + -1w * -5) + w(-2 + -1w)) = 0
-2((10 + 5w) + w(-2 + -1w)) = 0
-2(10 + 5w + (-2 * w + -1w * w)) = 0
-2(10 + 5w + (-2w + -1w2)) = 0

Combine like terms: 5w + -2w = 3w
-2(10 + 3w + -1w2) = 0
(10 * -2 + 3w * -2 + -1w2 * -2) = 0
(-20 + -6w + 2w2) = 0

Solving
-20 + -6w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -3w + w2) = 0

Factor a trinomial.
2((-2 + -1w)(5 + -1w)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
w = {-2, 5}

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