35r^2-33r-8=0

Solution for 35r^2-33r-8=0 equation:

Simplifying
35r2 + -33r + -8 = 0

Reorder the terms:
-8 + -33r + 35r2 = 0

Solving
-8 + -33r + 35r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-1 + -5r)(8 + -7r) = 0

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

Simplifying
-1 + -5r = 0

Solving
-1 + -5r = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5r = 0 + 1
-5r = 0 + 1

Combine like terms: 0 + 1 = 1
-5r = 1

Divide each side by '-5'.
r = -0.2

Simplifying
r = -0.2
Subproblem 2
Set the factor '(8 + -7r)' equal to zero and attempt to solve:

Simplifying
8 + -7r = 0

Solving
8 + -7r = 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 + -7r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7r = 0 + -8
-7r = 0 + -8

Combine like terms: 0 + -8 = -8
-7r = -8

Divide each side by '-7'.
r = 1.142857143

Simplifying
r = 1.142857143
Solution
r = {-0.2, 1.142857143}