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Simplifying (3q + -4)(q + -7) = 0 Reorder the terms: (-4 + 3q)(q + -7) = 0 Reorder the terms: (-4 + 3q)(-7 + q) = 0 Multiply (-4 + 3q) * (-7 + q) (-4(-7 + q) + 3q * (-7 + q)) = 0 ((-7 * -4 + q * -4) + 3q * (-7 + q)) = 0 ((28 + -4q) + 3q * (-7 + q)) = 0 (28 + -4q + (-7 * 3q + q * 3q)) = 0 (28 + -4q + (-21q + 3q2)) = 0 Combine like terms: -4q + -21q = -25q (28 + -25q + 3q2) = 0 Solving 28 + -25q + 3q2 = 0 Solving for variable 'q'. Factor a trinomial. (4 + -3q)(7 + -1q) = 0Subproblem 1
Set the factor '(4 + -3q)' equal to zero and attempt to solve: Simplifying 4 + -3q = 0 Solving 4 + -3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3q = 0 + -4 -3q = 0 + -4 Combine like terms: 0 + -4 = -4 -3q = -4 Divide each side by '-3'. q = 1.333333333 Simplifying q = 1.333333333Subproblem 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 = {1.333333333, 7}
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