w^2+10w-2475=0

Solution for w^2+10w-2475=0 equation:

Simplifying
w2 + 10w + -2475 = 0

Reorder the terms:
-2475 + 10w + w2 = 0

Solving
-2475 + 10w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-55 + -1w)(45 + -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 '(45 + -1w)' equal to zero and attempt to solve:

Simplifying
45 + -1w = 0

Solving
45 + -1w = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1w = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1w = 0 + -45
-1w = 0 + -45

Combine like terms: 0 + -45 = -45
-1w = -45

Divide each side by '-1'.
w = 45

Simplifying
w = 45
Solution
w = {-55, 45}