45r^2-25r+27r-15=

Solution for 45r^2-25r+27r-15= equation:

Simplifying
45r2 + -25r + 27r + -15 = 0

Reorder the terms:
-15 + -25r + 27r + 45r2 = 0

Combine like terms: -25r + 27r = 2r
-15 + 2r + 45r2 = 0

Solving
-15 + 2r + 45r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-3 + -5r)(5 + -9r) = 0

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 '(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 = {-0.6, 0.5555555556}