(11w+7)(4w-12)=0

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Solution for (11w+7)(4w-12)=0 equation: 


Simplifying
(11w + 7)(4w + -12) = 0

Reorder the terms:
(7 + 11w)(4w + -12) = 0

Reorder the terms:
(7 + 11w)(-12 + 4w) = 0

Multiply (7 + 11w) * (-12 + 4w)
(7(-12 + 4w) + 11w * (-12 + 4w)) = 0
((-12 * 7 + 4w * 7) + 11w * (-12 + 4w)) = 0
((-84 + 28w) + 11w * (-12 + 4w)) = 0
(-84 + 28w + (-12 * 11w + 4w * 11w)) = 0
(-84 + 28w + (-132w + 44w2)) = 0

Combine like terms: 28w + -132w = -104w
(-84 + -104w + 44w2) = 0

Solving
-84 + -104w + 44w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26w + 11w2) = 0

Factor a trinomial.
4((-7 + -11w)(3 + -1w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -11w)' equal to zero and attempt to solve:

Simplifying
-7 + -11w = 0

Solving
-7 + -11w = 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 + -11w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11w = 0 + 7
-11w = 0 + 7

Combine like terms: 0 + 7 = 7
-11w = 7

Divide each side by '-11'.
w = -0.6363636364

Simplifying
w = -0.6363636364

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 = {-0.6363636364, 3}

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