3=2x^2+1

Solution for 3=2x^2+1 equation:

Simplifying
3 = 2x2 + 1

Reorder the terms:
3 = 1 + 2x2

Solving
3 = 1 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
3 + -2x2 = 1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -2x2 = 1 + 0
3 + -2x2 = 1

Add '-3' to each side of the equation.
3 + -3 + -2x2 = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 1 + -3
-2x2 = 1 + -3

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

Divide each side by '-2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}