=c^2+2c-3

Solution for =c^2+2c-3 equation:

Simplifying
0 = c2 + 2c + -3

Reorder the terms:
0 = -3 + 2c + c2

Solving
0 = -3 + 2c + c2

Solving for variable 'c'.

Combine like terms: 0 + 3 = 3
3 + -2c + -1c2 = -3 + 2c + c2 + 3 + -2c + -1c2

Reorder the terms:
3 + -2c + -1c2 = -3 + 3 + 2c + -2c + c2 + -1c2

Combine like terms: -3 + 3 = 0
3 + -2c + -1c2 = 0 + 2c + -2c + c2 + -1c2
3 + -2c + -1c2 = 2c + -2c + c2 + -1c2

Combine like terms: 2c + -2c = 0
3 + -2c + -1c2 = 0 + c2 + -1c2
3 + -2c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
3 + -2c + -1c2 = 0

Factor a trinomial.
(1 + -1c)(3 + c) = 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 '(3 + c)' equal to zero and attempt to solve:

Simplifying
3 + c = 0

Solving
3 + c = 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 + c = 0 + -3

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

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

Simplifying
c = -3
Solution
c = {1, -3}