9r^2+19r+10=

Solution for 9r^2+19r+10= equation:

Simplifying
9r2 + 19r + 10 = 0

Reorder the terms:
10 + 19r + 9r2 = 0

Solving
10 + 19r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(10 + 9r)(1 + r) = 0

Subproblem 1
Set the factor '(10 + 9r)' equal to zero and attempt to solve:

Simplifying
10 + 9r = 0

Solving
10 + 9r = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9r = 0 + -10
9r = 0 + -10

Combine like terms: 0 + -10 = -10
9r = -10

Divide each side by '9'.
r = -1.111111111

Simplifying
r = -1.111111111
Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

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

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

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

Simplifying
r = -1
Solution
r = {-1.111111111, -1}