2x^2-71=507

Solution for 2x^2-71=507 equation:

Simplifying
2x2 + -71 = 507

Reorder the terms:
-71 + 2x2 = 507

Solving
-71 + 2x2 = 507

Solving for variable 'x'.

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

Add '71' to each side of the equation.
-71 + 71 + 2x2 = 507 + 71

Combine like terms: -71 + 71 = 0
0 + 2x2 = 507 + 71
2x2 = 507 + 71

Combine like terms: 507 + 71 = 578
2x2 = 578

Divide each side by '2'.
x2 = 289

Simplifying
x2 = 289

Take the square root of each side:
x = {-17, 17}