2c^2=5c-2

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

Simplifying
2c2 = 5c + -2

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

Solving
2c2 = -2 + 5c

Solving for variable 'c'.

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

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

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

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

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

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

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

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

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

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

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

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

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {0.5, 2}