5x^2-3=x^2+4

Solution for 5x^2-3=x^2+4 equation:

Simplifying
5x2 + -3 = x2 + 4

Reorder the terms:
-3 + 5x2 = x2 + 4

Reorder the terms:
-3 + 5x2 = 4 + x2

Solving
-3 + 5x2 = 4 + 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 + 5x2 + -1x2 = 4 + x2 + -1x2

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

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

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

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

Combine like terms: 4 + 3 = 7
4x2 = 7

Divide each side by '4'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}