(3c-1)(3c-1)=144

Solution for (3c-1)(3c-1)=144 equation:

Simplifying
(3c + -1)(3c + -1) = 144

Reorder the terms:
(-1 + 3c)(3c + -1) = 144

Reorder the terms:
(-1 + 3c)(-1 + 3c) = 144

Multiply (-1 + 3c) * (-1 + 3c)
(-1(-1 + 3c) + 3c * (-1 + 3c)) = 144
((-1 * -1 + 3c * -1) + 3c * (-1 + 3c)) = 144
((1 + -3c) + 3c * (-1 + 3c)) = 144
(1 + -3c + (-1 * 3c + 3c * 3c)) = 144
(1 + -3c + (-3c + 9c2)) = 144

Combine like terms: -3c + -3c = -6c
(1 + -6c + 9c2) = 144

Solving
1 + -6c + 9c2 = 144

Solving for variable 'c'.

Reorder the terms:
1 + -144 + -6c + 9c2 = 144 + -144

Combine like terms: 1 + -144 = -143
-143 + -6c + 9c2 = 144 + -144

Combine like terms: 144 + -144 = 0
-143 + -6c + 9c2 = 0

Factor a trinomial.
(-11 + -3c)(13 + -3c) = 0

Subproblem 1
Set the factor '(-11 + -3c)' equal to zero and attempt to solve:

Simplifying
-11 + -3c = 0

Solving
-11 + -3c = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3c = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3c = 0 + 11
-3c = 0 + 11

Combine like terms: 0 + 11 = 11
-3c = 11

Divide each side by '-3'.
c = -3.666666667

Simplifying
c = -3.666666667
Subproblem 2
Set the factor '(13 + -3c)' equal to zero and attempt to solve:

Simplifying
13 + -3c = 0

Solving
13 + -3c = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3c = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3c = 0 + -13
-3c = 0 + -13

Combine like terms: 0 + -13 = -13
-3c = -13

Divide each side by '-3'.
c = 4.333333333

Simplifying
c = 4.333333333
Solution
c = {-3.666666667, 4.333333333}