w(w*.5)-288=0

Solution for w(w*.5)-288=0 equation:

Simplifying
w(w * 0.5) + -288 = 0

Reorder the terms for easier multiplication:
w(0.5w) + -288 = 0

Remove parenthesis around (0.5w)
w * 0.5w + -288 = 0

Reorder the terms for easier multiplication:
0.5w * w + -288 = 0

Multiply w * w
0.5w2 + -288 = 0

Reorder the terms:
-288 + 0.5w2 = 0

Solving
-288 + 0.5w2 = 0

Solving for variable 'w'.

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

Add '288' to each side of the equation.
-288 + 288 + 0.5w2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 0.5w2 = 0 + 288
0.5w2 = 0 + 288

Combine like terms: 0 + 288 = 288
0.5w2 = 288

Divide each side by '0.5'.
w2 = 576

Simplifying
w2 = 576

Take the square root of each side:
w = {-24, 24}