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

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


Simplifying
5(w + 3)(-1w + 8) = 0

Reorder the terms:
5(3 + w)(-1w + 8) = 0

Reorder the terms:
5(3 + w)(8 + -1w) = 0

Multiply (3 + w) * (8 + -1w)
5(3(8 + -1w) + w(8 + -1w)) = 0
5((8 * 3 + -1w * 3) + w(8 + -1w)) = 0
5((24 + -3w) + w(8 + -1w)) = 0
5(24 + -3w + (8 * w + -1w * w)) = 0
5(24 + -3w + (8w + -1w2)) = 0

Combine like terms: -3w + 8w = 5w
5(24 + 5w + -1w2) = 0
(24 * 5 + 5w * 5 + -1w2 * 5) = 0
(120 + 25w + -5w2) = 0

Solving
120 + 25w + -5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + 5w + -1w2) = 0

Factor a trinomial.
5((8 + -1w)(3 + w)) = 0

Ignore the factor 5.

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 '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 0

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

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

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

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

Simplifying
w = -3
Solution
w = {8, -3}

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