-c-6c^2+15=6+2c^2

Solution for -c-6c^2+15=6+2c^2 equation:

Simplifying
-1c + -6c2 + 15 = 6 + 2c2

Reorder the terms:
15 + -1c + -6c2 = 6 + 2c2

Solving
15 + -1c + -6c2 = 6 + 2c2

Solving for variable 'c'.

Reorder the terms:
15 + -6 + -1c + -6c2 + -2c2 = 6 + 2c2 + -6 + -2c2

Combine like terms: 15 + -6 = 9
9 + -1c + -6c2 + -2c2 = 6 + 2c2 + -6 + -2c2

Combine like terms: -6c2 + -2c2 = -8c2
9 + -1c + -8c2 = 6 + 2c2 + -6 + -2c2

Reorder the terms:
9 + -1c + -8c2 = 6 + -6 + 2c2 + -2c2

Combine like terms: 6 + -6 = 0
9 + -1c + -8c2 = 0 + 2c2 + -2c2
9 + -1c + -8c2 = 2c2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
9 + -1c + -8c2 = 0

Factor a trinomial.
(1 + -1c)(9 + 8c) = 0

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

Simplifying
1 + -1c = 0

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

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

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

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

Simplifying
c = 1
Subproblem 2
Set the factor '(9 + 8c)' equal to zero and attempt to solve:

Simplifying
9 + 8c = 0

Solving
9 + 8c = 0

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

Add '-9' to each side of the equation.
9 + -9 + 8c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8c = 0 + -9
8c = 0 + -9

Combine like terms: 0 + -9 = -9
8c = -9

Divide each side by '8'.
c = -1.125

Simplifying
c = -1.125
Solution
c = {1, -1.125}