8(x*x+2*2)=392

Solution for 8(x*x+2*2)=392 equation:

Simplifying
8(x * x + 2 * 2) = 392

Multiply x * x
8(x2 + 2 * 2) = 392

Multiply 2 * 2
8(x2 + 4) = 392

Reorder the terms:
8(4 + x2) = 392
(4 * 8 + x2 * 8) = 392
(32 + 8x2) = 392

Solving
32 + 8x2 = 392

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 8x2 = 392 + -32

Combine like terms: 32 + -32 = 0
0 + 8x2 = 392 + -32
8x2 = 392 + -32

Combine like terms: 392 + -32 = 360
8x2 = 360

Divide each side by '8'.
x2 = 45

Simplifying
x2 = 45

Take the square root of each side:
x = {-6.708203933, 6.708203933}