r^2+13r-30=0

Solution for r^2+13r-30=0 equation:

Simplifying
r2 + 13r + -30 = 0

Reorder the terms:
-30 + 13r + r2 = 0

Solving
-30 + 13r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-15 + -1r)(2 + -1r) = 0

Subproblem 1
Set the factor '(-15 + -1r)' equal to zero and attempt to solve:

Simplifying
-15 + -1r = 0

Solving
-15 + -1r = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1r = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1r = 0 + 15
-1r = 0 + 15

Combine like terms: 0 + 15 = 15
-1r = 15

Divide each side by '-1'.
r = -15

Simplifying
r = -15
Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve:

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Solution
r = {-15, 2}