w^2=18-3w

Solution for w^2=18-3w equation:

Simplifying
w2 = 18 + -3w

Solving
w2 = 18 + -3w

Solving for variable 'w'.

Reorder the terms:
-18 + 3w + w2 = 18 + -3w + -18 + 3w

Reorder the terms:
-18 + 3w + w2 = 18 + -18 + -3w + 3w

Combine like terms: 18 + -18 = 0
-18 + 3w + w2 = 0 + -3w + 3w
-18 + 3w + w2 = -3w + 3w

Combine like terms: -3w + 3w = 0
-18 + 3w + w2 = 0

Factor a trinomial.
(-6 + -1w)(3 + -1w) = 0

Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve:

Simplifying
-6 + -1w = 0

Solving
-6 + -1w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1w = 0 + 6
-1w = 0 + 6

Combine like terms: 0 + 6 = 6
-1w = 6

Divide each side by '-1'.
w = -6

Simplifying
w = -6
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-6, 3}