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

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


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

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

Multiply (4 + w) * (8 + 3w)
(4(8 + 3w) + w(8 + 3w)) = 0
((8 * 4 + 3w * 4) + w(8 + 3w)) = 0
((32 + 12w) + w(8 + 3w)) = 0
(32 + 12w + (8 * w + 3w * w)) = 0
(32 + 12w + (8w + 3w2)) = 0

Combine like terms: 12w + 8w = 20w
(32 + 20w + 3w2) = 0

Solving
32 + 20w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + w)(8 + 3w) = 0


Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

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

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

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

Simplifying
w = -4

Subproblem 2
Set the factor '(8 + 3w)' equal to zero and attempt to solve:

Simplifying
8 + 3w = 0

Solving
8 + 3w = 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 + 3w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3w = 0 + -8
3w = 0 + -8

Combine like terms: 0 + -8 = -8
3w = -8

Divide each side by '3'.
w = -2.666666667

Simplifying
w = -2.666666667
Solution
w = {-4, -2.666666667}

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