-6c^2+5c+25=0

Solution for -6c^2+5c+25=0 equation:

Simplifying
-6c2 + 5c + 25 = 0

Reorder the terms:
25 + 5c + -6c2 = 0

Solving
25 + 5c + -6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5 + -2c)(5 + 3c) = 0

Subproblem 1
Set the factor '(5 + -2c)' equal to zero and attempt to solve:

Simplifying
5 + -2c = 0

Solving
5 + -2c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2c = 0 + -5
-2c = 0 + -5

Combine like terms: 0 + -5 = -5
-2c = -5

Divide each side by '-2'.
c = 2.5

Simplifying
c = 2.5
Subproblem 2
Set the factor '(5 + 3c)' equal to zero and attempt to solve:

Simplifying
5 + 3c = 0

Solving
5 + 3c = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3c = 0 + -5

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

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

Divide each side by '3'.
c = -1.666666667

Simplifying
c = -1.666666667
Solution
c = {2.5, -1.666666667}