6c^2+c^2-2=0

Solution for 6c^2+c^2-2=0 equation:

Simplifying
6c2 + c2 + -2 = 0

Reorder the terms:
-2 + 6c2 + c2 = 0

Combine like terms: 6c2 + c2 = 7c2
-2 + 7c2 = 0

Solving
-2 + 7c2 = 0

Solving for variable 'c'.

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

Add '2' to each side of the equation.
-2 + 2 + 7c2 = 0 + 2

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

Combine like terms: 0 + 2 = 2
7c2 = 2

Divide each side by '7'.
c2 = 0.2857142857

Simplifying
c2 = 0.2857142857

Take the square root of each side:
c = {-0.534522484, 0.534522484}