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

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

Simplifying
4x2 + -5 = x2 + 4

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

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

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

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

Combine like terms: x2 + -1x2 = 0
-5 + 3x2 = 4 + 0
-5 + 3x2 = 4

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 4 + 5
3x2 = 4 + 5

Combine like terms: 4 + 5 = 9
3x2 = 9

Divide each side by '3'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}