6r^2+30r-92=-8

Solution for 6r^2+30r-92=-8 equation:

Simplifying
6r2 + 30r + -92 = -8

Reorder the terms:
-92 + 30r + 6r2 = -8

Solving
-92 + 30r + 6r2 = -8

Solving for variable 'r'.

Reorder the terms:
-92 + 8 + 30r + 6r2 = -8 + 8

Combine like terms: -92 + 8 = -84
-84 + 30r + 6r2 = -8 + 8

Combine like terms: -8 + 8 = 0
-84 + 30r + 6r2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-14 + 5r + r2) = 0

Factor a trinomial.
6((-7 + -1r)(2 + -1r)) = 0

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

Simplifying
-7 + -1r = 0

Solving
-7 + -1r = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 0 + 7
-1r = 0 + 7

Combine like terms: 0 + 7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7
Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve:

Simplifying
2 + -1r = 0

Solving
2 + -1r = 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 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Solution
r = {-7, 2}