r^2-3r-94=-6

Solution for r^2-3r-94=-6 equation:

Simplifying
r2 + -3r + -94 = -6

Reorder the terms:
-94 + -3r + r2 = -6

Solving
-94 + -3r + r2 = -6

Solving for variable 'r'.

Reorder the terms:
-94 + 6 + -3r + r2 = -6 + 6

Combine like terms: -94 + 6 = -88
-88 + -3r + r2 = -6 + 6

Combine like terms: -6 + 6 = 0
-88 + -3r + r2 = 0

Factor a trinomial.
(-8 + -1r)(11 + -1r) = 0

Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve:

Simplifying
-8 + -1r = 0

Solving
-8 + -1r = 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 + -1r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = 0 + 8
-1r = 0 + 8

Combine like terms: 0 + 8 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8
Subproblem 2
Set the factor '(11 + -1r)' equal to zero and attempt to solve:

Simplifying
11 + -1r = 0

Solving
11 + -1r = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1r = 0 + -11

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

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

Divide each side by '-1'.
r = 11

Simplifying
r = 11
Solution
r = {-8, 11}