(8-w)(4w+5)=0

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Solution for (8-w)(4w+5)=0 equation: 


Simplifying
(8 + -1w)(4w + 5) = 0

Reorder the terms:
(8 + -1w)(5 + 4w) = 0

Multiply (8 + -1w) * (5 + 4w)
(8(5 + 4w) + -1w * (5 + 4w)) = 0
((5 * 8 + 4w * 8) + -1w * (5 + 4w)) = 0
((40 + 32w) + -1w * (5 + 4w)) = 0
(40 + 32w + (5 * -1w + 4w * -1w)) = 0
(40 + 32w + (-5w + -4w2)) = 0

Combine like terms: 32w + -5w = 27w
(40 + 27w + -4w2) = 0

Solving
40 + 27w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(5 + 4w) = 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 + 4w)' equal to zero and attempt to solve:

Simplifying
5 + 4w = 0

Solving
5 + 4w = 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 + 4w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4w = 0 + -5
4w = 0 + -5

Combine like terms: 0 + -5 = -5
4w = -5

Divide each side by '4'.
w = -1.25

Simplifying
w = -1.25
Solution
w = {8, -1.25}

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