(3q)(9-r)=

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Solution for (3q)(9-r)= equation:


Simplifying
(3q)(9 + -1r) = 0

Remove parenthesis around (3q)
3q(9 + -1r) = 0
(9 * 3q + -1r * 3q) = 0
(27q + -3qr) = 0

Solving
27q + -3qr = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), '3q'.
3q(9 + -1r) = 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 '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Add 'r' to each side of the equation. -1r + r = -9 + r Combine like terms: -1r + r = 0 0 = -9 + r Simplifying 0 = -9 + r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

q = {0}

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