588=3w(w)

Solution for 588=3w(w) equation:

Simplifying
588 = 3w(w)

Multiply w * w
588 = 3w2

Solving
588 = 3w2

Solving for variable 'w'.

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

Add '-3w2' to each side of the equation.
588 + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
588 + -3w2 = 0

Add '-588' to each side of the equation.
588 + -588 + -3w2 = 0 + -588

Combine like terms: 588 + -588 = 0
0 + -3w2 = 0 + -588
-3w2 = 0 + -588

Combine like terms: 0 + -588 = -588
-3w2 = -588

Divide each side by '-3'.
w2 = 196

Simplifying
w2 = 196

Take the square root of each side:
w = {-14, 14}