5c^2-24=26c

Solution for 5c^2-24=26c equation:

Simplifying
5c2 + -24 = 26c

Reorder the terms:
-24 + 5c2 = 26c

Solving
-24 + 5c2 = 26c

Solving for variable 'c'.

Reorder the terms:
-24 + -26c + 5c2 = 26c + -26c

Combine like terms: 26c + -26c = 0
-24 + -26c + 5c2 = 0

Factor a trinomial.
(-4 + -5c)(6 + -1c) = 0

Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve:

Simplifying
-4 + -5c = 0

Solving
-4 + -5c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5c = 0 + 4
-5c = 0 + 4

Combine like terms: 0 + 4 = 4
-5c = 4

Divide each side by '-5'.
c = -0.8

Simplifying
c = -0.8
Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 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 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

Simplifying
c = 6
Solution
c = {-0.8, 6}