w(w*3)-48=0

Solution for w(w*3)-48=0 equation:

Simplifying
w(w * 3) + -48 = 0

Reorder the terms for easier multiplication:
w(3w) + -48 = 0

Remove parenthesis around (3w)
w * 3w + -48 = 0

Reorder the terms for easier multiplication:
3w * w + -48 = 0

Multiply w * w
3w2 + -48 = 0

Reorder the terms:
-48 + 3w2 = 0

Solving
-48 + 3w2 = 0

Solving for variable 'w'.

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

Add '48' to each side of the equation.
-48 + 48 + 3w2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 3w2 = 0 + 48
3w2 = 0 + 48

Combine like terms: 0 + 48 = 48
3w2 = 48

Divide each side by '3'.
w2 = 16

Simplifying
w2 = 16

Take the square root of each side:
w = {-4, 4}