30+19r-63r^2=

Solution for 30+19r-63r^2= equation:

Simplifying
30 + 19r + -63r2 = 0

Solving
30 + 19r + -63r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(6 + -7r)(5 + 9r) = 0

Subproblem 1
Set the factor '(6 + -7r)' equal to zero and attempt to solve:

Simplifying
6 + -7r = 0

Solving
6 + -7r = 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 + -7r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7r = 0 + -6
-7r = 0 + -6

Combine like terms: 0 + -6 = -6
-7r = -6

Divide each side by '-7'.
r = 0.8571428571

Simplifying
r = 0.8571428571
Subproblem 2
Set the factor '(5 + 9r)' equal to zero and attempt to solve:

Simplifying
5 + 9r = 0

Solving
5 + 9r = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9r = 0 + -5
9r = 0 + -5

Combine like terms: 0 + -5 = -5
9r = -5

Divide each side by '9'.
r = -0.5555555556

Simplifying
r = -0.5555555556
Solution
r = {0.8571428571, -0.5555555556}