9(3w-7)(w+8)=

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Solution for 9(3w-7)(w+8)= equation: 


Simplifying
9(3w + -7)(w + 8) = 0

Reorder the terms:
9(-7 + 3w)(w + 8) = 0

Reorder the terms:
9(-7 + 3w)(8 + w) = 0

Multiply (-7 + 3w) * (8 + w)
9(-7(8 + w) + 3w * (8 + w)) = 0
9((8 * -7 + w * -7) + 3w * (8 + w)) = 0
9((-56 + -7w) + 3w * (8 + w)) = 0
9(-56 + -7w + (8 * 3w + w * 3w)) = 0
9(-56 + -7w + (24w + 3w2)) = 0

Combine like terms: -7w + 24w = 17w
9(-56 + 17w + 3w2) = 0
(-56 * 9 + 17w * 9 + 3w2 * 9) = 0
(-504 + 153w + 27w2) = 0

Solving
-504 + 153w + 27w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-56 + 17w + 3w2) = 0

Factor a trinomial.
9((-8 + -1w)(7 + -3w)) = 0

Ignore the factor 9.

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 '(7 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -3w = 0

Solving
7 + -3w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 0 + -7
-3w = 0 + -7

Combine like terms: 0 + -7 = -7
-3w = -7

Divide each side by '-3'.
w = 2.333333333

Simplifying
w = 2.333333333
Solution
w = {-8, 2.333333333}

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