2x^2-3=x^2+1

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

Simplifying
2x2 + -3 = x2 + 1

Reorder the terms:
-3 + 2x2 = x2 + 1

Reorder the terms:
-3 + 2x2 = 1 + x2

Solving
-3 + 2x2 = 1 + x2

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 1 + 3 = 4
1x2 = 4

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}