(5q-3)*(6q-9)=

Solution for (5q-3)*(6q-9)= equation:

Simplifying
(5q + -3)(6q + -9) = 0

Reorder the terms:
(-3 + 5q)(6q + -9) = 0

Reorder the terms:
(-3 + 5q)(-9 + 6q) = 0

Multiply (-3 + 5q) * (-9 + 6q)
(-3(-9 + 6q) + 5q * (-9 + 6q)) = 0
((-9 * -3 + 6q * -3) + 5q * (-9 + 6q)) = 0
((27 + -18q) + 5q * (-9 + 6q)) = 0
(27 + -18q + (-9 * 5q + 6q * 5q)) = 0
(27 + -18q + (-45q + 30q2)) = 0

Combine like terms: -18q + -45q = -63q
(27 + -63q + 30q2) = 0

Solving
27 + -63q + 30q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -21q + 10q2) = 0

Factor a trinomial.
3((3 + -5q)(3 + -2q)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + -5q)' equal to zero and attempt to solve:

Simplifying
3 + -5q = 0

Solving
3 + -5q = 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 + -5q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5q = 0 + -3
-5q = 0 + -3

Combine like terms: 0 + -3 = -3
-5q = -3

Divide each side by '-5'.
q = 0.6

Simplifying
q = 0.6
Subproblem 2
Set the factor '(3 + -2q)' equal to zero and attempt to solve:

Simplifying
3 + -2q = 0

Solving
3 + -2q = 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 + -2q = 0 + -3

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

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

Divide each side by '-2'.
q = 1.5

Simplifying
q = 1.5
Solution
q = {0.6, 1.5}