6x^2-3=57

Solution for 6x^2-3=57 equation:

Simplifying
6x2 + -3 = 57

Reorder the terms:
-3 + 6x2 = 57

Solving
-3 + 6x2 = 57

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x2 = 57 + 3

Combine like terms: -3 + 3 = 0
0 + 6x2 = 57 + 3
6x2 = 57 + 3

Combine like terms: 57 + 3 = 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}