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

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

Simplifying
x2 + 1 = 2x2 + -3

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

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