24q^2-56q=48

Solution for 24q^2-56q=48 equation:

Simplifying
24q2 + -56q = 48

Reorder the terms:
-56q + 24q2 = 48

Solving
-56q + 24q2 = 48

Solving for variable 'q'.

Reorder the terms:
-48 + -56q + 24q2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -56q + 24q2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + -7q + 3q2) = 0

Factor a trinomial.
8((-2 + -3q)(3 + -1q)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-2 + -3q)' equal to zero and attempt to solve:

Simplifying
-2 + -3q = 0

Solving
-2 + -3q = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3q = 0 + 2
-3q = 0 + 2

Combine like terms: 0 + 2 = 2
-3q = 2

Divide each side by '-3'.
q = -0.6666666667

Simplifying
q = -0.6666666667
Subproblem 2
Set the factor '(3 + -1q)' equal to zero and attempt to solve:

Simplifying
3 + -1q = 0

Solving
3 + -1q = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1q = 0 + -3
-1q = 0 + -3

Combine like terms: 0 + -3 = -3
-1q = -3

Divide each side by '-1'.
q = 3

Simplifying
q = 3
Solution
q = {-0.6666666667, 3}