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 = 116
4x2 = 116

Divide each side by '4'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}