(2w-5)(8+w)=0

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Solution for (2w-5)(8+w)=0 equation: 


Simplifying
(2w + -5)(8 + w) = 0

Reorder the terms:
(-5 + 2w)(8 + w) = 0

Multiply (-5 + 2w) * (8 + w)
(-5(8 + w) + 2w * (8 + w)) = 0
((8 * -5 + w * -5) + 2w * (8 + w)) = 0
((-40 + -5w) + 2w * (8 + w)) = 0
(-40 + -5w + (8 * 2w + w * 2w)) = 0
(-40 + -5w + (16w + 2w2)) = 0

Combine like terms: -5w + 16w = 11w
(-40 + 11w + 2w2) = 0

Solving
-40 + 11w + 2w2 = 0

Solving for variable 'w'.

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


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 '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 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 + -2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 0 + -5
-2w = 0 + -5

Combine like terms: 0 + -5 = -5
-2w = -5

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5
Solution
w = {-8, 2.5}

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