(4q-5)(3q-9q)=

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Solution for (4q-5)(3q-9q)= equation:


Simplifying
(4q + -5)(3q + -9q) = 0

Reorder the terms:
(-5 + 4q)(3q + -9q) = 0

Combine like terms: 3q + -9q = -6q
(-5 + 4q)(-6q) = 0

Remove parenthesis around (-6q)
(-5 + 4q) * -6q = 0

Reorder the terms for easier multiplication:
-6q(-5 + 4q) = 0
(-5 * -6q + 4q * -6q) = 0
(30q + -24q2) = 0

Solving
30q + -24q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6q'.
6q(5 + -4q) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0

Subproblem 2

Set the factor '(5 + -4q)' equal to zero and attempt to solve: Simplifying 5 + -4q = 0 Solving 5 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4q = 0 + -5 -4q = 0 + -5 Combine like terms: 0 + -5 = -5 -4q = -5 Divide each side by '-4'. q = 1.25 Simplifying q = 1.25

Solution

q = {0, 1.25}

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