90=66w^2-168w

Solution for 90=66w^2-168w equation:

Simplifying
90 = 66w2 + -168w

Reorder the terms:
90 = -168w + 66w2

Solving
90 = -168w + 66w2

Solving for variable 'w'.

Reorder the terms:
90 + 168w + -66w2 = -168w + 168w + 66w2 + -66w2

Combine like terms: -168w + 168w = 0
90 + 168w + -66w2 = 0 + 66w2 + -66w2
90 + 168w + -66w2 = 66w2 + -66w2

Combine like terms: 66w2 + -66w2 = 0
90 + 168w + -66w2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(15 + 28w + -11w2) = 0

Factor a trinomial.
6((3 + -1w)(5 + 11w)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + 11w)' equal to zero and attempt to solve:

Simplifying
5 + 11w = 0

Solving
5 + 11w = 0

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

Add '-5' to each side of the equation.
5 + -5 + 11w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11w = 0 + -5
11w = 0 + -5

Combine like terms: 0 + -5 = -5
11w = -5

Divide each side by '11'.
w = -0.4545454545

Simplifying
w = -0.4545454545
Solution
w = {3, -0.4545454545}