2c^2=7c-3

Solution for 2c^2=7c-3 equation:

Simplifying
2c2 = 7c + -3

Reorder the terms:
2c2 = -3 + 7c

Solving
2c2 = -3 + 7c

Solving for variable 'c'.

Reorder the terms:
3 + -7c + 2c2 = -3 + 7c + 3 + -7c

Reorder the terms:
3 + -7c + 2c2 = -3 + 3 + 7c + -7c

Combine like terms: -3 + 3 = 0
3 + -7c + 2c2 = 0 + 7c + -7c
3 + -7c + 2c2 = 7c + -7c

Combine like terms: 7c + -7c = 0
3 + -7c + 2c2 = 0

Factor a trinomial.
(1 + -2c)(3 + -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 '(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
Solution
c = {0.5, 3}