(2w-16)(w+5)=

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Solution for (2w-16)(w+5)= equation:


Simplifying
(2w + -16)(w + 5) = 0

Reorder the terms:
(-16 + 2w)(w + 5) = 0

Reorder the terms:
(-16 + 2w)(5 + w) = 0

Multiply (-16 + 2w) * (5 + w)
(-16(5 + w) + 2w * (5 + w)) = 0
((5 * -16 + w * -16) + 2w * (5 + w)) = 0
((-80 + -16w) + 2w * (5 + w)) = 0
(-80 + -16w + (5 * 2w + w * 2w)) = 0
(-80 + -16w + (10w + 2w2)) = 0

Combine like terms: -16w + 10w = -6w
(-80 + -6w + 2w2) = 0

Solving
-80 + -6w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3w + w2) = 0

Factor a trinomial.
2((-5 + -1w)(8 + -1w)) = 0

Ignore the factor 2.

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 '(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
Solution
w = {-5, 8}

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