4c^2-9=9c

Solution for 4c^2-9=9c equation:

Simplifying
4c2 + -9 = 9c

Reorder the terms:
-9 + 4c2 = 9c

Solving
-9 + 4c2 = 9c

Solving for variable 'c'.

Reorder the terms:
-9 + -9c + 4c2 = 9c + -9c

Combine like terms: 9c + -9c = 0
-9 + -9c + 4c2 = 0

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

Subproblem 1
Set the factor '(-3 + -4c)' equal to zero and attempt to solve:

Simplifying
-3 + -4c = 0

Solving
-3 + -4c = 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 + -4c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4c = 0 + 3
-4c = 0 + 3

Combine like terms: 0 + 3 = 3
-4c = 3

Divide each side by '-4'.
c = -0.75

Simplifying
c = -0.75
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 = {-0.75, 3}