2c^2-7c=-5

Solution for 2c^2-7c=-5 equation:

Simplifying
2c2 + -7c = -5

Reorder the terms:
-7c + 2c2 = -5

Solving
-7c + 2c2 = -5

Solving for variable 'c'.

Reorder the terms:
5 + -7c + 2c2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -7c + 2c2 = 0

Factor a trinomial.
(1 + -1c)(5 + -2c) = 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 '(5 + -2c)' equal to zero and attempt to solve:

Simplifying
5 + -2c = 0

Solving
5 + -2c = 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 + -2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2c = 0 + -5
-2c = 0 + -5

Combine like terms: 0 + -5 = -5
-2c = -5

Divide each side by '-2'.
c = 2.5

Simplifying
c = 2.5
Solution
c = {1, 2.5}