5x^2+2=x^2+3

Solution for 5x^2+2=x^2+3 equation:

Simplifying
5x2 + 2 = x2 + 3

Reorder the terms:
2 + 5x2 = x2 + 3

Reorder the terms:
2 + 5x2 = 3 + x2

Solving
2 + 5x2 = 3 + 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.
2 + 5x2 + -1x2 = 3 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
2 + 4x2 = 3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 4x2 = 3 + 0
2 + 4x2 = 3

Add '-2' to each side of the equation.
2 + -2 + 4x2 = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 4x2 = 3 + -2
4x2 = 3 + -2

Combine like terms: 3 + -2 = 1
4x2 = 1

Divide each side by '4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}