8x^2-10-52=0

Solution for 8x^2-10-52=0 equation:

Simplifying
8x2 + -10 + -52 = 0

Reorder the terms:
-10 + -52 + 8x2 = 0

Combine like terms: -10 + -52 = -62
-62 + 8x2 = 0

Solving
-62 + 8x2 = 0

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 8x2 = 0 + 62

Combine like terms: -62 + 62 = 0
0 + 8x2 = 0 + 62
8x2 = 0 + 62

Combine like terms: 0 + 62 = 62
8x2 = 62

Divide each side by '8'.
x2 = 7.75

Simplifying
x2 = 7.75

Take the square root of each side:
x = {-2.783882181, 2.783882181}