50r^2+55r=-15

Solution for 50r^2+55r=-15 equation:

Simplifying
50r2 + 55r = -15

Reorder the terms:
55r + 50r2 = -15

Solving
55r + 50r2 = -15

Solving for variable 'r'.

Reorder the terms:
15 + 55r + 50r2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 55r + 50r2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + 11r + 10r2) = 0

Factor a trinomial.
5((3 + 5r)(1 + 2r)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + 5r)' equal to zero and attempt to solve:

Simplifying
3 + 5r = 0

Solving
3 + 5r = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5r = 0 + -3
5r = 0 + -3

Combine like terms: 0 + -3 = -3
5r = -3

Divide each side by '5'.
r = -0.6

Simplifying
r = -0.6
Subproblem 2
Set the factor '(1 + 2r)' equal to zero and attempt to solve:

Simplifying
1 + 2r = 0

Solving
1 + 2r = 0

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

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

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

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

Divide each side by '2'.
r = -0.5

Simplifying
r = -0.5
Solution
r = {-0.6, -0.5}