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Simplifying (3q + -2)(q + -7) = 0 Reorder the terms: (-2 + 3q)(q + -7) = 0 Reorder the terms: (-2 + 3q)(-7 + q) = 0 Multiply (-2 + 3q) * (-7 + q) (-2(-7 + q) + 3q * (-7 + q)) = 0 ((-7 * -2 + q * -2) + 3q * (-7 + q)) = 0 ((14 + -2q) + 3q * (-7 + q)) = 0 (14 + -2q + (-7 * 3q + q * 3q)) = 0 (14 + -2q + (-21q + 3q2)) = 0 Combine like terms: -2q + -21q = -23q (14 + -23q + 3q2) = 0 Solving 14 + -23q + 3q2 = 0 Solving for variable 'q'. Factor a trinomial. (2 + -3q)(7 + -1q) = 0Subproblem 1
Set the factor '(2 + -3q)' equal to zero and attempt to solve: Simplifying 2 + -3q = 0 Solving 2 + -3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3q = 0 + -2 -3q = 0 + -2 Combine like terms: 0 + -2 = -2 -3q = -2 Divide each side by '-3'. q = 0.6666666667 Simplifying q = 0.6666666667Subproblem 2
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 = 7Solution
q = {0.6666666667, 7}
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