(5c-3)(5c-3)=9c^2

Solution for (5c-3)(5c-3)=9c^2 equation:

Simplifying
(5c + -3)(5c + -3) = 9c2

Reorder the terms:
(-3 + 5c)(5c + -3) = 9c2

Reorder the terms:
(-3 + 5c)(-3 + 5c) = 9c2

Multiply (-3 + 5c) * (-3 + 5c)
(-3(-3 + 5c) + 5c * (-3 + 5c)) = 9c2
((-3 * -3 + 5c * -3) + 5c * (-3 + 5c)) = 9c2
((9 + -15c) + 5c * (-3 + 5c)) = 9c2
(9 + -15c + (-3 * 5c + 5c * 5c)) = 9c2
(9 + -15c + (-15c + 25c2)) = 9c2

Combine like terms: -15c + -15c = -30c
(9 + -30c + 25c2) = 9c2

Solving
9 + -30c + 25c2 = 9c2

Solving for variable 'c'.

Combine like terms: 25c2 + -9c2 = 16c2
9 + -30c + 16c2 = 9c2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
9 + -30c + 16c2 = 0

Factor a trinomial.
(3 + -8c)(3 + -2c) = 0

Subproblem 1
Set the factor '(3 + -8c)' equal to zero and attempt to solve:

Simplifying
3 + -8c = 0

Solving
3 + -8c = 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 + -8c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8c = 0 + -3
-8c = 0 + -3

Combine like terms: 0 + -3 = -3
-8c = -3

Divide each side by '-8'.
c = 0.375

Simplifying
c = 0.375
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 = {0.375, 1.5}