2x^2+2+1=313

Solution for 2x^2+2+1=313 equation:

Simplifying
2x2 + 2 + 1 = 313

Reorder the terms:
2 + 1 + 2x2 = 313

Combine like terms: 2 + 1 = 3
3 + 2x2 = 313

Solving
3 + 2x2 = 313

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 + 2x2 = 313 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 313 + -3
2x2 = 313 + -3

Combine like terms: 313 + -3 = 310
2x2 = 310

Divide each side by '2'.
x2 = 155

Simplifying
x2 = 155

Take the square root of each side:
x = {-12.449899598, 12.449899598}