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Simplifying (Q + 5)(3q + -15) = 0 Reorder the terms: (5 + Q)(3q + -15) = 0 Reorder the terms: (5 + Q)(-15 + 3q) = 0 Multiply (5 + Q) * (-15 + 3q) (5(-15 + 3q) + Q(-15 + 3q)) = 0 ((-15 * 5 + 3q * 5) + Q(-15 + 3q)) = 0 ((-75 + 15q) + Q(-15 + 3q)) = 0 (-75 + 15q + (-15 * Q + 3q * Q)) = 0 (-75 + 15q + (-15Q + 3qQ)) = 0 Reorder the terms: (-75 + -15Q + 15q + 3qQ) = 0 (-75 + -15Q + 15q + 3qQ) = 0 Solving -75 + -15Q + 15q + 3qQ = 0 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '75' to each side of the equation. -75 + -15Q + 15q + 75 + 3qQ = 0 + 75 Reorder the terms: -75 + 75 + -15Q + 15q + 3qQ = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -15Q + 15q + 3qQ = 0 + 75 -15Q + 15q + 3qQ = 0 + 75 Combine like terms: 0 + 75 = 75 -15Q + 15q + 3qQ = 75 Add '-15q' to each side of the equation. -15Q + 15q + -15q + 3qQ = 75 + -15q Combine like terms: 15q + -15q = 0 -15Q + 0 + 3qQ = 75 + -15q -15Q + 3qQ = 75 + -15q Reorder the terms: -75 + -15Q + 15q + 3qQ = 75 + -15q + -75 + 15q Reorder the terms: -75 + -15Q + 15q + 3qQ = 75 + -75 + -15q + 15q Combine like terms: 75 + -75 = 0 -75 + -15Q + 15q + 3qQ = 0 + -15q + 15q -75 + -15Q + 15q + 3qQ = -15q + 15q Combine like terms: -15q + 15q = 0 -75 + -15Q + 15q + 3qQ = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-25 + -5Q + 5q + qQ) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-25 + -5Q + 5q + qQ)' equal to zero and attempt to solve: Simplifying -25 + -5Q + 5q + qQ = 0 Solving -25 + -5Q + 5q + qQ = 0 Move all terms containing Q to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -5Q + 5q + 25 + qQ = 0 + 25 Reorder the terms: -25 + 25 + -5Q + 5q + qQ = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5Q + 5q + qQ = 0 + 25 -5Q + 5q + qQ = 0 + 25 Combine like terms: 0 + 25 = 25 -5Q + 5q + qQ = 25 Add '-5q' to each side of the equation. -5Q + 5q + -5q + qQ = 25 + -5q Combine like terms: 5q + -5q = 0 -5Q + 0 + qQ = 25 + -5q -5Q + qQ = 25 + -5q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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