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

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


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

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

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

Combine like terms: 5w + 32w = 37w
(40 + 37w + 4w2) = 0

Solving
40 + 37w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(5 + 4w) = 0


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

Simplifying
8 + w = 0

Solving
8 + w = 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 + w = 0 + -8

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

Combine like terms: 0 + -8 = -8
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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