(12c+5)(-6c-2)=0

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Solution for (12c+5)(-6c-2)=0 equation: 


Simplifying
(12c + 5)(-6c + -2) = 0

Reorder the terms:
(5 + 12c)(-6c + -2) = 0

Reorder the terms:
(5 + 12c)(-2 + -6c) = 0

Multiply (5 + 12c) * (-2 + -6c)
(5(-2 + -6c) + 12c * (-2 + -6c)) = 0
((-2 * 5 + -6c * 5) + 12c * (-2 + -6c)) = 0
((-10 + -30c) + 12c * (-2 + -6c)) = 0
(-10 + -30c + (-2 * 12c + -6c * 12c)) = 0
(-10 + -30c + (-24c + -72c2)) = 0

Combine like terms: -30c + -24c = -54c
(-10 + -54c + -72c2) = 0

Solving
-10 + -54c + -72c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(5 + 27c + 36c2) = 0

Factor a trinomial.
-2((5 + 12c)(1 + 3c)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(5 + 12c)' equal to zero and attempt to solve:

Simplifying
5 + 12c = 0

Solving
5 + 12c = 0

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

Add '-5' to each side of the equation.
5 + -5 + 12c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 12c = 0 + -5
12c = 0 + -5

Combine like terms: 0 + -5 = -5
12c = -5

Divide each side by '12'.
c = -0.4166666667

Simplifying
c = -0.4166666667

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

Simplifying
1 + 3c = 0

Solving
1 + 3c = 0

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

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

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

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

Divide each side by '3'.
c = -0.3333333333

Simplifying
c = -0.3333333333
Solution
c = {-0.4166666667, -0.3333333333}

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