4.24(0.01-x^2)=x^2

Solution for 4.24(0.01-x^2)=x^2 equation:

Simplifying
4.24(0.01 + -1x2) = x2
(0.01 * 4.24 + -1x2 * 4.24) = x2
(0.0424 + -4.24x2) = x2

Solving
0.0424 + -4.24x2 = 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.
0.0424 + -4.24x2 + -1x2 = x2 + -1x2

Combine like terms: -4.24x2 + -1x2 = -5.24x2
0.0424 + -5.24x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0.0424 + -5.24x2 = 0

Add '-0.0424' to each side of the equation.
0.0424 + -0.0424 + -5.24x2 = 0 + -0.0424

Combine like terms: 0.0424 + -0.0424 = 0.0000
0.0000 + -5.24x2 = 0 + -0.0424
-5.24x2 = 0 + -0.0424

Combine like terms: 0 + -0.0424 = -0.0424
-5.24x2 = -0.0424

Divide each side by '-5.24'.
x2 = 0.008091603053

Simplifying
x2 = 0.008091603053

Take the square root of each side:
x = {-0.089953338, 0.089953338}