9-5x^2=x^2+4-4

Solution for 9-5x^2=x^2+4-4 equation:

Simplifying
9 + -5x2 = x2 + 4 + -4

Reorder the terms:
9 + -5x2 = 4 + -4 + x2

Combine like terms: 4 + -4 = 0
9 + -5x2 = 0 + x2
9 + -5x2 = x2

Solving
9 + -5x2 = 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.
9 + -5x2 + -1x2 = x2 + -1x2

Combine like terms: -5x2 + -1x2 = -6x2
9 + -6x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x2 = 0

Add '-9' to each side of the equation.
9 + -9 + -6x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -6x2 = 0 + -9
-6x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-6x2 = -9

Divide each side by '-6'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}