2c^2+9c+6=9c+10

Solution for 2c^2+9c+6=9c+10 equation:

Simplifying
2c2 + 9c + 6 = 9c + 10

Reorder the terms:
6 + 9c + 2c2 = 9c + 10

Reorder the terms:
6 + 9c + 2c2 = 10 + 9c

Add '-9c' to each side of the equation.
6 + 9c + -9c + 2c2 = 10 + 9c + -9c

Combine like terms: 9c + -9c = 0
6 + 0 + 2c2 = 10 + 9c + -9c
6 + 2c2 = 10 + 9c + -9c

Combine like terms: 9c + -9c = 0
6 + 2c2 = 10 + 0
6 + 2c2 = 10

Solving
6 + 2c2 = 10

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + 2c2 = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2c2 = 10 + -6
2c2 = 10 + -6

Combine like terms: 10 + -6 = 4
2c2 = 4

Divide each side by '2'.
c2 = 2

Simplifying
c2 = 2

Take the square root of each side:
c = {-1.414213562, 1.414213562}