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

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Solution for -5(w-2)(-w-5)=0 equation: 


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

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

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

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

Combine like terms: 2w + -5w = -3w
-5(10 + -3w + -1w2) = 0
(10 * -5 + -3w * -5 + -1w2 * -5) = 0
(-50 + 15w + 5w2) = 0

Solving
-50 + 15w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 3w + w2) = 0

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

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
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
Solution
w = {-5, 2}

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