r^2+25r-150=0

Solution for r^2+25r-150=0 equation:

Simplifying
r2 + 25r + -150 = 0

Reorder the terms:
-150 + 25r + r2 = 0

Solving
-150 + 25r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-30 + -1r)(5 + -1r) = 0

Subproblem 1
Set the factor '(-30 + -1r)' equal to zero and attempt to solve:

Simplifying
-30 + -1r = 0

Solving
-30 + -1r = 0

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

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

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

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

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

Simplifying
r = -30
Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve:

Simplifying
5 + -1r = 0

Solving
5 + -1r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 0 + -5
-1r = 0 + -5

Combine like terms: 0 + -5 = -5
-1r = -5

Divide each side by '-1'.
r = 5

Simplifying
r = 5
Solution
r = {-30, 5}