2w^2+3w-324=0

Solution for 2w^2+3w-324=0 equation:

Simplifying
2w2 + 3w + -324 = 0

Reorder the terms:
-324 + 3w + 2w2 = 0

Solving
-324 + 3w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-27 + -2w)(12 + -1w) = 0

Subproblem 1
Set the factor '(-27 + -2w)' equal to zero and attempt to solve:

Simplifying
-27 + -2w = 0

Solving
-27 + -2w = 0

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

Add '27' to each side of the equation.
-27 + 27 + -2w = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2w = 0 + 27
-2w = 0 + 27

Combine like terms: 0 + 27 = 27
-2w = 27

Divide each side by '-2'.
w = -13.5

Simplifying
w = -13.5
Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12
Solution
w = {-13.5, 12}