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

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Solution for -2(w+5)(-w-2)=0 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 = -7w
-2(-10 + -7w + -1w2) = 0
(-10 * -2 + -7w * -2 + -1w2 * -2) = 0
(20 + 14w + 2w2) = 0

Solving
20 + 14w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 7w + w2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 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 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5

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

Simplifying
2 + w = 0

Solving
2 + w = 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 + w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + w = 0 + -2
w = 0 + -2

Combine like terms: 0 + -2 = -2
w = -2

Simplifying
w = -2
Solution
w = {-5, -2}

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