(3w+20)(w-8)=0

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Solution for (3w+20)(w-8)=0 equation: 


Simplifying
(3w + 20)(w + -8) = 0

Reorder the terms:
(20 + 3w)(w + -8) = 0

Reorder the terms:
(20 + 3w)(-8 + w) = 0

Multiply (20 + 3w) * (-8 + w)
(20(-8 + w) + 3w * (-8 + w)) = 0
((-8 * 20 + w * 20) + 3w * (-8 + w)) = 0
((-160 + 20w) + 3w * (-8 + w)) = 0
(-160 + 20w + (-8 * 3w + w * 3w)) = 0
(-160 + 20w + (-24w + 3w2)) = 0

Combine like terms: 20w + -24w = -4w
(-160 + -4w + 3w2) = 0

Solving
-160 + -4w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-20 + -3w)(8 + -1w) = 0


Subproblem 1
Set the factor '(-20 + -3w)' equal to zero and attempt to solve:

Simplifying
-20 + -3w = 0

Solving
-20 + -3w = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3w = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3w = 0 + 20
-3w = 0 + 20

Combine like terms: 0 + 20 = 20
-3w = 20

Divide each side by '-3'.
w = -6.666666667

Simplifying
w = -6.666666667

Subproblem 2
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
Solution
w = {-6.666666667, 8}

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