0=4c^2-12c+9

Solution for 0=4c^2-12c+9 equation:

Simplifying
0 = 4c2 + -12c + 9

Reorder the terms:
0 = 9 + -12c + 4c2

Solving
0 = 9 + -12c + 4c2

Solving for variable 'c'.

Combine like terms: 0 + -9 = -9
-9 + 12c + -4c2 = 9 + -12c + 4c2 + -9 + 12c + -4c2

Reorder the terms:
-9 + 12c + -4c2 = 9 + -9 + -12c + 12c + 4c2 + -4c2

Combine like terms: 9 + -9 = 0
-9 + 12c + -4c2 = 0 + -12c + 12c + 4c2 + -4c2
-9 + 12c + -4c2 = -12c + 12c + 4c2 + -4c2

Combine like terms: -12c + 12c = 0
-9 + 12c + -4c2 = 0 + 4c2 + -4c2
-9 + 12c + -4c2 = 4c2 + -4c2

Combine like terms: 4c2 + -4c2 = 0
-9 + 12c + -4c2 = 0

Factor a trinomial.
(-3 + 2c)(3 + -2c) = 0

Subproblem 1
Set the factor '(-3 + 2c)' equal to zero and attempt to solve:

Simplifying
-3 + 2c = 0

Solving
-3 + 2c = 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 + 2c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2c = 0 + 3
2c = 0 + 3

Combine like terms: 0 + 3 = 3
2c = 3

Divide each side by '2'.
c = 1.5

Simplifying
c = 1.5
Subproblem 2
Set the factor '(3 + -2c)' equal to zero and attempt to solve:

Simplifying
3 + -2c = 0

Solving
3 + -2c = 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 + -2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2c = 0 + -3
-2c = 0 + -3

Combine like terms: 0 + -3 = -3
-2c = -3

Divide each side by '-2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {1.5, 1.5}