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Simplifying 3Q2 + 6Q + -105 = 0 Reorder the terms: -105 + 6Q + 3Q2 = 0 Solving -105 + 6Q + 3Q2 = 0 Solving for variable 'Q'. Factor out the Greatest Common Factor (GCF), '3'. 3(-35 + 2Q + Q2) = 0 Factor a trinomial. 3((-7 + -1Q)(5 + -1Q)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -1Q)' equal to zero and attempt to solve: Simplifying -7 + -1Q = 0 Solving -7 + -1Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1Q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1Q = 0 + 7 -1Q = 0 + 7 Combine like terms: 0 + 7 = 7 -1Q = 7 Divide each side by '-1'. Q = -7 Simplifying Q = -7Subproblem 2
Set the factor '(5 + -1Q)' equal to zero and attempt to solve: Simplifying 5 + -1Q = 0 Solving 5 + -1Q = 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 + -1Q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1Q = 0 + -5 -1Q = 0 + -5 Combine like terms: 0 + -5 = -5 -1Q = -5 Divide each side by '-1'. Q = 5 Simplifying Q = 5Solution
Q = {-7, 5}
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