2(2x^2-57)=0

Solution for 2(2x^2-57)=0 equation:

Simplifying
2(2x2 + -57) = 0

Reorder the terms:
2(-57 + 2x2) = 0
(-57 * 2 + 2x2 * 2) = 0
(-114 + 4x2) = 0

Solving
-114 + 4x2 = 0

Solving for variable 'x'.

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

Add '114' to each side of the equation.
-114 + 114 + 4x2 = 0 + 114

Combine like terms: -114 + 114 = 0
0 + 4x2 = 0 + 114
4x2 = 0 + 114

Combine like terms: 0 + 114 = 114
4x2 = 114

Divide each side by '4'.
x2 = 28.5

Simplifying
x2 = 28.5

Take the square root of each side:
x = {-5.338539126, 5.338539126}