9c+14=2c^2+9c+6

Solution for 9c+14=2c^2+9c+6 equation:

Simplifying
9c + 14 = 2c2 + 9c + 6

Reorder the terms:
14 + 9c = 2c2 + 9c + 6

Reorder the terms:
14 + 9c = 6 + 9c + 2c2

Add '-9c' to each side of the equation.
14 + 9c + -9c = 6 + 9c + -9c + 2c2

Combine like terms: 9c + -9c = 0
14 + 0 = 6 + 9c + -9c + 2c2
14 = 6 + 9c + -9c + 2c2

Combine like terms: 9c + -9c = 0
14 = 6 + 0 + 2c2
14 = 6 + 2c2

Solving
14 = 6 + 2c2

Solving for variable 'c'.

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

Add '-2c2' to each side of the equation.
14 + -2c2 = 6 + 2c2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
14 + -2c2 = 6 + 0
14 + -2c2 = 6

Add '-14' to each side of the equation.
14 + -14 + -2c2 = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -2c2 = 6 + -14
-2c2 = 6 + -14

Combine like terms: 6 + -14 = -8
-2c2 = -8

Divide each side by '-2'.
c2 = 4

Simplifying
c2 = 4

Take the square root of each side:
c = {-2, 2}