2x^2+6=71

Solution for 2x^2+6=71 equation:

Simplifying
2x2 + 6 = 71

Reorder the terms:
6 + 2x2 = 71

Solving
6 + 2x2 = 71

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 71 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 71 + -6
2x2 = 71 + -6

Combine like terms: 71 + -6 = 65
2x2 = 65

Divide each side by '2'.
x2 = 32.5

Simplifying
x2 = 32.5

Take the square root of each side:
x = {-5.700877125, 5.700877125}