(13c+9)(4c-12)=0

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Solution for (13c+9)(4c-12)=0 equation: 


Simplifying
(13c + 9)(4c + -12) = 0

Reorder the terms:
(9 + 13c)(4c + -12) = 0

Reorder the terms:
(9 + 13c)(-12 + 4c) = 0

Multiply (9 + 13c) * (-12 + 4c)
(9(-12 + 4c) + 13c * (-12 + 4c)) = 0
((-12 * 9 + 4c * 9) + 13c * (-12 + 4c)) = 0
((-108 + 36c) + 13c * (-12 + 4c)) = 0
(-108 + 36c + (-12 * 13c + 4c * 13c)) = 0
(-108 + 36c + (-156c + 52c2)) = 0

Combine like terms: 36c + -156c = -120c
(-108 + -120c + 52c2) = 0

Solving
-108 + -120c + 52c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + -30c + 13c2) = 0

Factor a trinomial.
4((-9 + -13c)(3 + -1c)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -13c)' equal to zero and attempt to solve:

Simplifying
-9 + -13c = 0

Solving
-9 + -13c = 0

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

Add '9' to each side of the equation.
-9 + 9 + -13c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -13c = 0 + 9
-13c = 0 + 9

Combine like terms: 0 + 9 = 9
-13c = 9

Divide each side by '-13'.
c = -0.6923076923

Simplifying
c = -0.6923076923

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 = {-0.6923076923, 3}

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