15q^2-55q+40=0

Solution for 15q^2-55q+40=0 equation:

Simplifying
15q2 + -55q + 40 = 0

Reorder the terms:
40 + -55q + 15q2 = 0

Solving
40 + -55q + 15q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -11q + 3q2) = 0

Factor a trinomial.
5((1 + -1q)(8 + -3q)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 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 + -1q = 0 + -1

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

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

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

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

Simplifying
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
Solution
q = {1, 2.666666667}