(.266-2x^2)(.3125)=x^2

Solution for (.266-2x^2)(.3125)=x^2 equation:

Simplifying
(0.266 + -2x2)(0.3125) = x2

Reorder the terms for easier multiplication:
0.3125(0.266 + -2x2) = x2
(0.266 * 0.3125 + -2x2 * 0.3125) = x2
(0.083125 + -0.625x2) = x2

Solving
0.083125 + -0.625x2 = 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.
0.083125 + -0.625x2 + -1x2 = x2 + -1x2

Combine like terms: -0.625x2 + -1x2 = -1.625x2
0.083125 + -1.625x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0.083125 + -1.625x2 = 0

Add '-0.083125' to each side of the equation.
0.083125 + -0.083125 + -1.625x2 = 0 + -0.083125

Combine like terms: 0.083125 + -0.083125 = 0.000000
0.000000 + -1.625x2 = 0 + -0.083125
-1.625x2 = 0 + -0.083125

Combine like terms: 0 + -0.083125 = -0.083125
-1.625x2 = -0.083125

Divide each side by '-1.625'.
x2 = 0.05115384615

Simplifying
x2 = 0.05115384615

Take the square root of each side:
x = {-0.22617216, 0.22617216}