2x^2+6-71=0

Solution for 2x^2+6-71=0 equation:

Simplifying
2x2 + 6 + -71 = 0

Reorder the terms:
6 + -71 + 2x2 = 0

Combine like terms: 6 + -71 = -65
-65 + 2x2 = 0

Solving
-65 + 2x2 = 0

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + 2x2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 2x2 = 0 + 65
2x2 = 0 + 65

Combine like terms: 0 + 65 = 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}