5r^2+10r-60=-10r

Solution for 5r^2+10r-60=-10r equation:

Simplifying
5r2 + 10r + -60 = -10r

Reorder the terms:
-60 + 10r + 5r2 = -10r

Solving
-60 + 10r + 5r2 = -10r

Solving for variable 'r'.

Reorder the terms:
-60 + 10r + 10r + 5r2 = -10r + 10r

Combine like terms: 10r + 10r = 20r
-60 + 20r + 5r2 = -10r + 10r

Combine like terms: -10r + 10r = 0
-60 + 20r + 5r2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 4r + r2) = 0

Factor a trinomial.
5((-6 + -1r)(2 + -1r)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -1r)' equal to zero and attempt to solve:

Simplifying
-6 + -1r = 0

Solving
-6 + -1r = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1r = 0 + 6
-1r = 0 + 6

Combine like terms: 0 + 6 = 6
-1r = 6

Divide each side by '-1'.
r = -6

Simplifying
r = -6
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 = {-6, 2}