15r^2+19r-8=

Solution for 15r^2+19r-8= equation:

Simplifying
15r2 + 19r + -8 = 0

Reorder the terms:
-8 + 19r + 15r2 = 0

Solving
-8 + 19r + 15r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -5r)(1 + -3r) = 0

Subproblem 1
Set the factor '(-8 + -5r)' equal to zero and attempt to solve:

Simplifying
-8 + -5r = 0

Solving
-8 + -5r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5r = 0 + 8
-5r = 0 + 8

Combine like terms: 0 + 8 = 8
-5r = 8

Divide each side by '-5'.
r = -1.6

Simplifying
r = -1.6
Subproblem 2
Set the factor '(1 + -3r)' equal to zero and attempt to solve:

Simplifying
1 + -3r = 0

Solving
1 + -3r = 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 + -3r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3r = 0 + -1
-3r = 0 + -1

Combine like terms: 0 + -1 = -1
-3r = -1

Divide each side by '-3'.
r = 0.3333333333

Simplifying
r = 0.3333333333
Solution
r = {-1.6, 0.3333333333}