c(c-7)=8

Solution for c(c-7)=8 equation:

Simplifying
c(c + -7) = 8

Reorder the terms:
c(-7 + c) = 8
(-7 * c + c * c) = 8
(-7c + c2) = 8

Solving
-7c + c2 = 8

Solving for variable 'c'.

Reorder the terms:
-8 + -7c + c2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -7c + c2 = 0

Factor a trinomial.
(-1 + -1c)(8 + -1c) = 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 '(8 + -1c)' equal to zero and attempt to solve:

Simplifying
8 + -1c = 0

Solving
8 + -1c = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1c = 0 + -8
-1c = 0 + -8

Combine like terms: 0 + -8 = -8
-1c = -8

Divide each side by '-1'.
c = 8

Simplifying
c = 8
Solution
c = {-1, 8}