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

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

Simplifying
x2 + 3 = 2x2 + -1

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

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

Solving
3 + x2 = -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 + x2 + -2x2 = -1 + 2x2 + -2x2

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

Combine like terms: 2x2 + -2x2 = 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}