w^2+25w-1650=0

Solution for w^2+25w-1650=0 equation:

Simplifying
w2 + 25w + -1650 = 0

Reorder the terms:
-1650 + 25w + w2 = 0

Solving
-1650 + 25w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-55 + -1w)(30 + -1w) = 0

Subproblem 1
Set the factor '(-55 + -1w)' equal to zero and attempt to solve:

Simplifying
-55 + -1w = 0

Solving
-55 + -1w = 0

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

Add '55' to each side of the equation.
-55 + 55 + -1w = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -1w = 0 + 55
-1w = 0 + 55

Combine like terms: 0 + 55 = 55
-1w = 55

Divide each side by '-1'.
w = -55

Simplifying
w = -55
Subproblem 2
Set the factor '(30 + -1w)' equal to zero and attempt to solve:

Simplifying
30 + -1w = 0

Solving
30 + -1w = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1w = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1w = 0 + -30
-1w = 0 + -30

Combine like terms: 0 + -30 = -30
-1w = -30

Divide each side by '-1'.
w = 30

Simplifying
w = 30
Solution
w = {-55, 30}