4(x^2+8)=84

Solution for 4(x^2+8)=84 equation:

Simplifying
4(x2 + 8) = 84

Reorder the terms:
4(8 + x2) = 84
(8 * 4 + x2 * 4) = 84
(32 + 4x2) = 84

Solving
32 + 4x2 = 84

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 + 4x2 = 84 + -32

Combine like terms: 32 + -32 = 0
0 + 4x2 = 84 + -32
4x2 = 84 + -32

Combine like terms: 84 + -32 = 52
4x2 = 52

Divide each side by '4'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}