-5(w-1)(-w-8)=0

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Solution for -5(w-1)(-w-8)=0 equation: 


Simplifying
-5(w + -1)(-1w + -8) = 0

Reorder the terms:
-5(-1 + w)(-1w + -8) = 0

Reorder the terms:
-5(-1 + w)(-8 + -1w) = 0

Multiply (-1 + w) * (-8 + -1w)
-5(-1(-8 + -1w) + w(-8 + -1w)) = 0
-5((-8 * -1 + -1w * -1) + w(-8 + -1w)) = 0
-5((8 + 1w) + w(-8 + -1w)) = 0
-5(8 + 1w + (-8 * w + -1w * w)) = 0
-5(8 + 1w + (-8w + -1w2)) = 0

Combine like terms: 1w + -8w = -7w
-5(8 + -7w + -1w2) = 0
(8 * -5 + -7w * -5 + -1w2 * -5) = 0
(-40 + 35w + 5w2) = 0

Solving
-40 + 35w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 7w + w2) = 0

Factor a trinomial.
5((-8 + -1w)(1 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve:

Simplifying
-8 + -1w = 0

Solving
-8 + -1w = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1w = 0 + 8
-1w = 0 + 8

Combine like terms: 0 + 8 = 8
-1w = 8

Divide each side by '-1'.
w = -8

Simplifying
w = -8

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Solution
w = {-8, 1}

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