77r^2+52r-12=

Solution for 77r^2+52r-12= equation:

Simplifying
77r2 + 52r + -12 = 0

Reorder the terms:
-12 + 52r + 77r2 = 0

Solving
-12 + 52r + 77r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-6 + -7r)(2 + -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 '(2 + -11r)' equal to zero and attempt to solve:

Simplifying
2 + -11r = 0

Solving
2 + -11r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11r = 0 + -2
-11r = 0 + -2

Combine like terms: 0 + -2 = -2
-11r = -2

Divide each side by '-11'.
r = 0.1818181818

Simplifying
r = 0.1818181818
Solution
r = {-0.8571428571, 0.1818181818}