2c(c-8)=-30

Solution for 2c(c-8)=-30 equation:

Simplifying
2c(c + -8) = -30

Reorder the terms:
2c(-8 + c) = -30
(-8 * 2c + c * 2c) = -30
(-16c + 2c2) = -30

Solving
-16c + 2c2 = -30

Solving for variable 'c'.

Reorder the terms:
30 + -16c + 2c2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -16c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -8c + c2) = 0

Factor a trinomial.
2((3 + -1c)(5 + -1c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
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 = {3, 5}