-125w^2+150w-45=

Solution for -125w^2+150w-45= equation:

Simplifying
-125w2 + 150w + -45 = 0

Reorder the terms:
-45 + 150w + -125w2 = 0

Solving
-45 + 150w + -125w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + 30w + -25w2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(-3 + 5w)' equal to zero and attempt to solve:

Simplifying
-3 + 5w = 0

Solving
-3 + 5w = 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 + 5w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5w = 0 + 3
5w = 0 + 3

Combine like terms: 0 + 3 = 3
5w = 3

Divide each side by '5'.
w = 0.6

Simplifying
w = 0.6
Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve:

Simplifying
3 + -5w = 0

Solving
3 + -5w = 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 + -5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5w = 0 + -3
-5w = 0 + -3

Combine like terms: 0 + -3 = -3
-5w = -3

Divide each side by '-5'.
w = 0.6

Simplifying
w = 0.6
Solution
w = {0.6, 0.6}