(8+w)(3w+4)=0

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Solution for (8+w)(3w+4)=0 equation: 


Simplifying
(8 + w)(3w + 4) = 0

Reorder the terms:
(8 + w)(4 + 3w) = 0

Multiply (8 + w) * (4 + 3w)
(8(4 + 3w) + w(4 + 3w)) = 0
((4 * 8 + 3w * 8) + w(4 + 3w)) = 0
((32 + 24w) + w(4 + 3w)) = 0
(32 + 24w + (4 * w + 3w * w)) = 0
(32 + 24w + (4w + 3w2)) = 0

Combine like terms: 24w + 4w = 28w
(32 + 28w + 3w2) = 0

Solving
32 + 28w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(4 + 3w) = 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 '(4 + 3w)' equal to zero and attempt to solve:

Simplifying
4 + 3w = 0

Solving
4 + 3w = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3w = 0 + -4
3w = 0 + -4

Combine like terms: 0 + -4 = -4
3w = -4

Divide each side by '3'.
w = -1.333333333

Simplifying
w = -1.333333333
Solution
w = {-8, -1.333333333}

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