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

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


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

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

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

Multiply (7 + 11c) * (-12 + 4c)
(7(-12 + 4c) + 11c * (-12 + 4c)) = 0
((-12 * 7 + 4c * 7) + 11c * (-12 + 4c)) = 0
((-84 + 28c) + 11c * (-12 + 4c)) = 0
(-84 + 28c + (-12 * 11c + 4c * 11c)) = 0
(-84 + 28c + (-132c + 44c2)) = 0

Combine like terms: 28c + -132c = -104c
(-84 + -104c + 44c2) = 0

Solving
-84 + -104c + 44c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26c + 11c2) = 0

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

Ignore the factor 4.

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

Simplifying
-7 + -11c = 0

Solving
-7 + -11c = 0

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

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

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

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

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

Simplifying
c = -0.6363636364

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

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

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

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

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

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

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

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