(11w+5)(6w-18)=0

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Solution for (11w+5)(6w-18)=0 equation: 


Simplifying
(11w + 5)(6w + -18) = 0

Reorder the terms:
(5 + 11w)(6w + -18) = 0

Reorder the terms:
(5 + 11w)(-18 + 6w) = 0

Multiply (5 + 11w) * (-18 + 6w)
(5(-18 + 6w) + 11w * (-18 + 6w)) = 0
((-18 * 5 + 6w * 5) + 11w * (-18 + 6w)) = 0
((-90 + 30w) + 11w * (-18 + 6w)) = 0
(-90 + 30w + (-18 * 11w + 6w * 11w)) = 0
(-90 + 30w + (-198w + 66w2)) = 0

Combine like terms: 30w + -198w = -168w
(-90 + -168w + 66w2) = 0

Solving
-90 + -168w + 66w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + -28w + 11w2) = 0

Factor a trinomial.
6((-5 + -11w)(3 + -1w)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-5 + -11w)' equal to zero and attempt to solve:

Simplifying
-5 + -11w = 0

Solving
-5 + -11w = 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 + -11w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11w = 0 + 5
-11w = 0 + 5

Combine like terms: 0 + 5 = 5
-11w = 5

Divide each side by '-11'.
w = -0.4545454545

Simplifying
w = -0.4545454545

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 = {-0.4545454545, 3}

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