125c^2+150c+45=0

Solution for 125c^2+150c+45=0 equation:

Simplifying
125c2 + 150c + 45 = 0

Reorder the terms:
45 + 150c + 125c2 = 0

Solving
45 + 150c + 125c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + 30c + 25c2) = 0

Factor a trinomial.
5((3 + 5c)(3 + 5c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + 5c)' equal to zero and attempt to solve:

Simplifying
3 + 5c = 0

Solving
3 + 5c = 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 + 5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5c = 0 + -3
5c = 0 + -3

Combine like terms: 0 + -3 = -3
5c = -3

Divide each side by '5'.
c = -0.6

Simplifying
c = -0.6
Subproblem 2
Set the factor '(3 + 5c)' equal to zero and attempt to solve:

Simplifying
3 + 5c = 0

Solving
3 + 5c = 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 + 5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5c = 0 + -3
5c = 0 + -3

Combine like terms: 0 + -3 = -3
5c = -3

Divide each side by '5'.
c = -0.6

Simplifying
c = -0.6
Solution
c = {-0.6, -0.6}