(11w+8)(3w-9)=0

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Solution for (11w+8)(3w-9)=0 equation: 


Simplifying
(11w + 8)(3w + -9) = 0

Reorder the terms:
(8 + 11w)(3w + -9) = 0

Reorder the terms:
(8 + 11w)(-9 + 3w) = 0

Multiply (8 + 11w) * (-9 + 3w)
(8(-9 + 3w) + 11w * (-9 + 3w)) = 0
((-9 * 8 + 3w * 8) + 11w * (-9 + 3w)) = 0
((-72 + 24w) + 11w * (-9 + 3w)) = 0
(-72 + 24w + (-9 * 11w + 3w * 11w)) = 0
(-72 + 24w + (-99w + 33w2)) = 0

Combine like terms: 24w + -99w = -75w
(-72 + -75w + 33w2) = 0

Solving
-72 + -75w + 33w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25w + 11w2) = 0

Factor a trinomial.
3((-8 + -11w)(3 + -1w)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11w)' equal to zero and attempt to solve:

Simplifying
-8 + -11w = 0

Solving
-8 + -11w = 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 + -11w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11w = 0 + 8
-11w = 0 + 8

Combine like terms: 0 + 8 = 8
-11w = 8

Divide each side by '-11'.
w = -0.7272727273

Simplifying
w = -0.7272727273

Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.7272727273, 3}

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