6r^2-88=-2r

Solution for 6r^2-88=-2r equation:

Simplifying
6r2 + -88 = -2r

Reorder the terms:
-88 + 6r2 = -2r

Solving
-88 + 6r2 = -2r

Solving for variable 'r'.

Reorder the terms:
-88 + 2r + 6r2 = -2r + 2r

Combine like terms: -2r + 2r = 0
-88 + 2r + 6r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-44 + r + 3r2) = 0

Factor a trinomial.
2((-4 + -1r)(11 + -3r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve:

Simplifying
-4 + -1r = 0

Solving
-4 + -1r = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1r = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1r = 0 + 4
-1r = 0 + 4

Combine like terms: 0 + 4 = 4
-1r = 4

Divide each side by '-1'.
r = -4

Simplifying
r = -4
Subproblem 2
Set the factor '(11 + -3r)' equal to zero and attempt to solve:

Simplifying
11 + -3r = 0

Solving
11 + -3r = 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 + -3r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3r = 0 + -11
-3r = 0 + -11

Combine like terms: 0 + -11 = -11
-3r = -11

Divide each side by '-3'.
r = 3.666666667

Simplifying
r = 3.666666667
Solution
r = {-4, 3.666666667}