48-x^2=x^2

Solution for 48-x^2=x^2 equation:

Simplifying
48 + -1x2 = x2

Solving
48 + -1x2 = 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.
48 + -1x2 + -1x2 = x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
48 + -2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -2x2 = 0

Add '-48' to each side of the equation.
48 + -48 + -2x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -2x2 = 0 + -48
-2x2 = 0 + -48

Combine like terms: 0 + -48 = -48
-2x2 = -48

Divide each side by '-2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}