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

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


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

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

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

Multiply (7 + 11s) * (-12 + 4s)
(7(-12 + 4s) + 11s * (-12 + 4s)) = 0
((-12 * 7 + 4s * 7) + 11s * (-12 + 4s)) = 0
((-84 + 28s) + 11s * (-12 + 4s)) = 0
(-84 + 28s + (-12 * 11s + 4s * 11s)) = 0
(-84 + 28s + (-132s + 44s2)) = 0

Combine like terms: 28s + -132s = -104s
(-84 + -104s + 44s2) = 0

Solving
-84 + -104s + 44s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26s + 11s2) = 0

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

Ignore the factor 4.

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

Simplifying
-7 + -11s = 0

Solving
-7 + -11s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -11s = 0 + 7

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

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

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

Simplifying
s = -0.6363636364

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

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

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

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

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

Simplifying
s = 3
Solution
s = {-0.6363636364, 3}

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