8x^2-10(2-5x^2)=0

Solution for 8x^2-10(2-5x^2)=0 equation:

Simplifying
8x2 + -10(2 + -5x2) = 0
8x2 + (2 * -10 + -5x2 * -10) = 0
8x2 + (-20 + 50x2) = 0

Reorder the terms:
-20 + 8x2 + 50x2 = 0

Combine like terms: 8x2 + 50x2 = 58x2
-20 + 58x2 = 0

Solving
-20 + 58x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '20' to each side of the equation.
-20 + 20 + 58x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 58x2 = 0 + 20
58x2 = 0 + 20

Combine like terms: 0 + 20 = 20
58x2 = 20

Divide each side by '58'.
x2 = 0.3448275862

Simplifying
x2 = 0.3448275862

Take the square root of each side:
x = {-0.58722022, 0.58722022}