C(c-6)-4(c+6)(c-6)=72

Solution for C(c-6)-4(c+6)(c-6)=72 equation:

Simplifying
C(c + -6) + -4(c + 6)(c + -6) = 72

Reorder the terms:
C(-6 + c) + -4(c + 6)(c + -6) = 72
(-6 * C + c * C) + -4(c + 6)(c + -6) = 72
(-6C + cC) + -4(c + 6)(c + -6) = 72

Reorder the terms:
-6C + cC + -4(6 + c)(c + -6) = 72

Reorder the terms:
-6C + cC + -4(6 + c)(-6 + c) = 72

Multiply (6 + c) * (-6 + c)
-6C + cC + -4(6(-6 + c) + c(-6 + c)) = 72
-6C + cC + -4((-6 * 6 + c * 6) + c(-6 + c)) = 72
-6C + cC + -4((-36 + 6c) + c(-6 + c)) = 72
-6C + cC + -4(-36 + 6c + (-6 * c + c * c)) = 72
-6C + cC + -4(-36 + 6c + (-6c + c2)) = 72

Combine like terms: 6c + -6c = 0
-6C + cC + -4(-36 + 0 + c2) = 72
-6C + cC + -4(-36 + c2) = 72
-6C + cC + (-36 * -4 + c2 * -4) = 72
-6C + cC + (144 + -4c2) = 72

Reorder the terms:
144 + -6C + cC + -4c2 = 72

Solving
144 + -6C + cC + -4c2 = 72

Solving for variable 'C'.

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

Add '-144' to each side of the equation.
144 + -6C + cC + -144 + -4c2 = 72 + -144

Reorder the terms:
144 + -144 + -6C + cC + -4c2 = 72 + -144

Combine like terms: 144 + -144 = 0
0 + -6C + cC + -4c2 = 72 + -144
-6C + cC + -4c2 = 72 + -144

Combine like terms: 72 + -144 = -72
-6C + cC + -4c2 = -72

Add '4c2' to each side of the equation.
-6C + cC + -4c2 + 4c2 = -72 + 4c2

Combine like terms: -4c2 + 4c2 = 0
-6C + cC + 0 = -72 + 4c2
-6C + cC = -72 + 4c2

Reorder the terms:
72 + -6C + cC + -4c2 = -72 + 4c2 + 72 + -4c2

Reorder the terms:
72 + -6C + cC + -4c2 = -72 + 72 + 4c2 + -4c2

Combine like terms: -72 + 72 = 0
72 + -6C + cC + -4c2 = 0 + 4c2 + -4c2
72 + -6C + cC + -4c2 = 4c2 + -4c2

Combine like terms: 4c2 + -4c2 = 0
72 + -6C + cC + -4c2 = 0

The solution to this equation could not be determined.