35r^2+48r-27=0

Solution for 35r^2+48r-27=0 equation:

Simplifying
35r2 + 48r + -27 = 0

Reorder the terms:
-27 + 48r + 35r2 = 0

Solving
-27 + 48r + 35r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-9 + -5r)(3 + -7r) = 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 + -7r)' equal to zero and attempt to solve:

Simplifying
3 + -7r = 0

Solving
3 + -7r = 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 + -7r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7r = 0 + -3
-7r = 0 + -3

Combine like terms: 0 + -3 = -3
-7r = -3

Divide each side by '-7'.
r = 0.4285714286

Simplifying
r = 0.4285714286
Solution
r = {-1.8, 0.4285714286}