288=x(x(4.5))

Solution for 288=x(x(4.5)) equation:

Simplifying
288 = x(x(4.5))

Reorder the terms for easier multiplication:
288 = x(4.5x)

Remove parenthesis around (4.5x)
288 = x * 4.5x

Reorder the terms for easier multiplication:
288 = 4.5x * x

Multiply x * x
288 = 4.5x2

Solving
288 = 4.5x2

Solving for variable 'x'.

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

Add '-4.5x2' to each side of the equation.
288 + -4.5x2 = 4.5x2 + -4.5x2

Combine like terms: 4.5x2 + -4.5x2 = 0.0
288 + -4.5x2 = 0.0

Add '-288' to each side of the equation.
288 + -288 + -4.5x2 = 0.0 + -288

Combine like terms: 288 + -288 = 0
0 + -4.5x2 = 0.0 + -288
-4.5x2 = 0.0 + -288

Combine like terms: 0.0 + -288 = -288
-4.5x2 = -288

Divide each side by '-4.5'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}