k^2+25k-900=0

Solution for k^2+25k-900=0 equation:

Simplifying
k2 + 25k + -900 = 0

Reorder the terms:
-900 + 25k + k2 = 0

Solving
-900 + 25k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-45 + -1k)(20 + -1k) = 0

Subproblem 1
Set the factor '(-45 + -1k)' equal to zero and attempt to solve:

Simplifying
-45 + -1k = 0

Solving
-45 + -1k = 0

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

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

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

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

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

Simplifying
k = -45
Subproblem 2
Set the factor '(20 + -1k)' equal to zero and attempt to solve:

Simplifying
20 + -1k = 0

Solving
20 + -1k = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1k = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1k = 0 + -20
-1k = 0 + -20

Combine like terms: 0 + -20 = -20
-1k = -20

Divide each side by '-1'.
k = 20

Simplifying
k = 20
Solution
k = {-45, 20}