8c^2=20+36c

Solution for 8c^2=20+36c equation:

Simplifying
8c2 = 20 + 36c

Solving
8c2 = 20 + 36c

Solving for variable 'c'.

Reorder the terms:
-20 + -36c + 8c2 = 20 + 36c + -20 + -36c

Reorder the terms:
-20 + -36c + 8c2 = 20 + -20 + 36c + -36c

Combine like terms: 20 + -20 = 0
-20 + -36c + 8c2 = 0 + 36c + -36c
-20 + -36c + 8c2 = 36c + -36c

Combine like terms: 36c + -36c = 0
-20 + -36c + 8c2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -9c + 2c2) = 0

Factor a trinomial.
4((-1 + -2c)(5 + -1c)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2c)' equal to zero and attempt to solve:

Simplifying
-1 + -2c = 0

Solving
-1 + -2c = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2c = 0 + 1
-2c = 0 + 1

Combine like terms: 0 + 1 = 1
-2c = 1

Divide each side by '-2'.
c = -0.5

Simplifying
c = -0.5
Subproblem 2
Set the factor '(5 + -1c)' equal to zero and attempt to solve:

Simplifying
5 + -1c = 0

Solving
5 + -1c = 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 + -1c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1c = 0 + -5
-1c = 0 + -5

Combine like terms: 0 + -5 = -5
-1c = -5

Divide each side by '-1'.
c = 5

Simplifying
c = 5
Solution
c = {-0.5, 5}