6x^2+17=77

Solution for 6x^2+17=77 equation:

Simplifying
6x2 + 17 = 77

Reorder the terms:
17 + 6x2 = 77

Solving
17 + 6x2 = 77

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 6x2 = 77 + -17

Combine like terms: 17 + -17 = 0
0 + 6x2 = 77 + -17
6x2 = 77 + -17

Combine like terms: 77 + -17 = 60
6x2 = 60

Divide each side by '6'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}