9+w^2+6+4w^2=35

Solution for 9+w^2+6+4w^2=35 equation:

Simplifying
9 + w2 + 6 + 4w2 = 35

Reorder the terms:
9 + 6 + w2 + 4w2 = 35

Combine like terms: 9 + 6 = 15
15 + w2 + 4w2 = 35

Combine like terms: w2 + 4w2 = 5w2
15 + 5w2 = 35

Solving
15 + 5w2 = 35

Solving for variable 'w'.

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

Add '-15' to each side of the equation.
15 + -15 + 5w2 = 35 + -15

Combine like terms: 15 + -15 = 0
0 + 5w2 = 35 + -15
5w2 = 35 + -15

Combine like terms: 35 + -15 = 20
5w2 = 20

Divide each side by '5'.
w2 = 4

Simplifying
w2 = 4

Take the square root of each side:
w = {-2, 2}