-4c^2+126c+900=0

Solution for -4c^2+126c+900=0 equation:

Simplifying
-4c2 + 126c + 900 = 0

Reorder the terms:
900 + 126c + -4c2 = 0

Solving
900 + 126c + -4c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(450 + 63c + -2c2) = 0

Factor a trinomial.
2((75 + -2c)(6 + c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(75 + -2c)' equal to zero and attempt to solve:

Simplifying
75 + -2c = 0

Solving
75 + -2c = 0

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

Add '-75' to each side of the equation.
75 + -75 + -2c = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -2c = 0 + -75
-2c = 0 + -75

Combine like terms: 0 + -75 = -75
-2c = -75

Divide each side by '-2'.
c = 37.5

Simplifying
c = 37.5
Subproblem 2
Set the factor '(6 + c)' equal to zero and attempt to solve:

Simplifying
6 + c = 0

Solving
6 + c = 0

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

Add '-6' to each side of the equation.
6 + -6 + c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + c = 0 + -6
c = 0 + -6

Combine like terms: 0 + -6 = -6
c = -6

Simplifying
c = -6
Solution
c = {37.5, -6}