90=6w^2

Solution for 90=6w^2 equation:

Simplifying
90 = 6w2

Solving
90 = 6w2

Solving for variable 'w'.

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

Add '-6w2' to each side of the equation.
90 + -6w2 = 6w2 + -6w2

Combine like terms: 6w2 + -6w2 = 0
90 + -6w2 = 0

Add '-90' to each side of the equation.
90 + -90 + -6w2 = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -6w2 = 0 + -90
-6w2 = 0 + -90

Combine like terms: 0 + -90 = -90
-6w2 = -90

Divide each side by '-6'.
w2 = 15

Simplifying
w2 = 15

Take the square root of each side:
w = {-3.872983346, 3.872983346}