3q^2r-11qr+8r=

Solution for 3q^2r-11qr+8r= equation:

Simplifying
3q2r + -11qr + 8r = 0

Reorder the terms:
-11qr + 3q2r + 8r = 0

Solving
-11qr + 3q2r + 8r = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-11q + 3q2 + 8) = 0

Factor a trinomial.
r((3q + -8)(q + -1)) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Add '-1r' to each side of the equation.
r + -1r = 0 + -1r
Remove the zero:
0 = -1r

Simplifying
0 = -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3q + -8)' equal to zero and attempt to solve:

Simplifying
3q + -8 = 0

Reorder the terms:
-8 + 3q = 0

Solving
-8 + 3q = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3q = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3q = 0 + 8
3q = 0 + 8

Combine like terms: 0 + 8 = 8
3q = 8

Divide each side by '3'.
q = 2.666666667

Simplifying
q = 2.666666667
Subproblem 3
Set the factor '(q + -1)' equal to zero and attempt to solve:

Simplifying
q + -1 = 0

Reorder the terms:
-1 + q = 0

Solving
-1 + q = 0

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

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

Combine like terms: -1 + 1 = 0
0 + q = 0 + 1
q = 0 + 1

Combine like terms: 0 + 1 = 1
q = 1

Simplifying
q = 1
Solution
q = {2.666666667, 1}