(9c+5)(4c-12)=0

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Solution for (9c+5)(4c-12)=0 equation: 


Simplifying
(9c + 5)(4c + -12) = 0

Reorder the terms:
(5 + 9c)(4c + -12) = 0

Reorder the terms:
(5 + 9c)(-12 + 4c) = 0

Multiply (5 + 9c) * (-12 + 4c)
(5(-12 + 4c) + 9c * (-12 + 4c)) = 0
((-12 * 5 + 4c * 5) + 9c * (-12 + 4c)) = 0
((-60 + 20c) + 9c * (-12 + 4c)) = 0
(-60 + 20c + (-12 * 9c + 4c * 9c)) = 0
(-60 + 20c + (-108c + 36c2)) = 0

Combine like terms: 20c + -108c = -88c
(-60 + -88c + 36c2) = 0

Solving
-60 + -88c + 36c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -22c + 9c2) = 0

Factor a trinomial.
4((-5 + -9c)(3 + -1c)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -9c)' equal to zero and attempt to solve:

Simplifying
-5 + -9c = 0

Solving
-5 + -9c = 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 + -9c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9c = 0 + 5
-9c = 0 + 5

Combine like terms: 0 + 5 = 5
-9c = 5

Divide each side by '-9'.
c = -0.5555555556

Simplifying
c = -0.5555555556

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 = {-0.5555555556, 3}

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