9r^2+46r-48=

Solution for 9r^2+46r-48= equation:

Simplifying
9r2 + 46r + -48 = 0

Reorder the terms:
-48 + 46r + 9r2 = 0

Solving
-48 + 46r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-6 + -1r)(8 + -9r) = 0

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 '(8 + -9r)' equal to zero and attempt to solve:

Simplifying
8 + -9r = 0

Solving
8 + -9r = 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 + -9r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9r = 0 + -8
-9r = 0 + -8

Combine like terms: 0 + -8 = -8
-9r = -8

Divide each side by '-9'.
r = 0.8888888889

Simplifying
r = 0.8888888889
Solution
r = {-6, 0.8888888889}