3q^2-17q-28q=0

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Solution for 3q^2-17q-28q=0 equation: 


Simplifying
3q2 + -17q + -28q = 0

Reorder the terms:
-17q + -28q + 3q2 = 0

Combine like terms: -17q + -28q = -45q
-45q + 3q2 = 0

Solving
-45q + 3q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '3q'.
3q(-15 + q) = 0

Ignore the factor 3.

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 '(-15 + q)' equal to zero and attempt to solve:

Simplifying
-15 + q = 0

Solving
-15 + q = 0

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

Add '15' to each side of the equation.
-15 + 15 + q = 0 + 15

Combine like terms: -15 + 15 = 0
0 + q = 0 + 15
q = 0 + 15

Combine like terms: 0 + 15 = 15
q = 15

Simplifying
q = 15
Solution
q = {0, 15}

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