25r^2+60r+27=

Solution for 25r^2+60r+27= equation:

Simplifying
25r2 + 60r + 27 = 0

Reorder the terms:
27 + 60r + 25r2 = 0

Solving
27 + 60r + 25r2 = 0

Solving for variable 'r'.

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

Subproblem 1
Set the factor '(9 + 5r)' equal to zero and attempt to solve:

Simplifying
9 + 5r = 0

Solving
9 + 5r = 0

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

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

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

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

Divide each side by '5'.
r = -1.8

Simplifying
r = -1.8
Subproblem 2
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
Solution
r = {-1.8, -0.6}