10+c(2c)=130

Solution for 10+c(2c)=130 equation:

Simplifying
10 + c(2c) = 130

Remove parenthesis around (2c)
10 + c * 2c = 130

Reorder the terms for easier multiplication:
10 + 2c * c = 130

Multiply c * c
10 + 2c2 = 130

Solving
10 + 2c2 = 130

Solving for variable 'c'.

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

Add '-10' to each side of the equation.
10 + -10 + 2c2 = 130 + -10

Combine like terms: 10 + -10 = 0
0 + 2c2 = 130 + -10
2c2 = 130 + -10

Combine like terms: 130 + -10 = 120
2c2 = 120

Divide each side by '2'.
c2 = 60

Simplifying
c2 = 60

Take the square root of each side:
c = {-7.745966692, 7.745966692}