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

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Solution for (5+w)(3w+8)=0 equation: 


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

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

Multiply (5 + w) * (8 + 3w)
(5(8 + 3w) + w(8 + 3w)) = 0
((8 * 5 + 3w * 5) + w(8 + 3w)) = 0
((40 + 15w) + w(8 + 3w)) = 0
(40 + 15w + (8 * w + 3w * w)) = 0
(40 + 15w + (8w + 3w2)) = 0

Combine like terms: 15w + 8w = 23w
(40 + 23w + 3w2) = 0

Solving
40 + 23w + 3w2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

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

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

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

Simplifying
w = -5

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 = {-5, -2.666666667}

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