27=3w*w

Solution for 27=3w*w equation:

Simplifying
27 = 3w * w

Multiply w * w
27 = 3w2

Solving
27 = 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.
27 + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
27 + -3w2 = 0

Add '-27' to each side of the equation.
27 + -27 + -3w2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3w2 = 0 + -27
-3w2 = 0 + -27

Combine like terms: 0 + -27 = -27
-3w2 = -27

Divide each side by '-3'.
w2 = 9

Simplifying
w2 = 9

Take the square root of each side:
w = {-3, 3}