77r^2+59r-6=

Solution for 77r^2+59r-6= equation:

Simplifying
77r2 + 59r + -6 = 0

Reorder the terms:
-6 + 59r + 77r2 = 0

Solving
-6 + 59r + 77r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-6 + -7r)(1 + -11r) = 0

Subproblem 1
Set the factor '(-6 + -7r)' equal to zero and attempt to solve:

Simplifying
-6 + -7r = 0

Solving
-6 + -7r = 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 + -7r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7r = 0 + 6
-7r = 0 + 6

Combine like terms: 0 + 6 = 6
-7r = 6

Divide each side by '-7'.
r = -0.8571428571

Simplifying
r = -0.8571428571
Subproblem 2
Set the factor '(1 + -11r)' equal to zero and attempt to solve:

Simplifying
1 + -11r = 0

Solving
1 + -11r = 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 + -11r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11r = 0 + -1
-11r = 0 + -1

Combine like terms: 0 + -1 = -1
-11r = -1

Divide each side by '-11'.
r = 0.09090909091

Simplifying
r = 0.09090909091
Solution
r = {-0.8571428571, 0.09090909091}