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Simplifying 7q2 + -4q + -315 = 0 Reorder the terms: -315 + -4q + 7q2 = 0 Solving -315 + -4q + 7q2 = 0 Solving for variable 'q'. Factor a trinomial. (-45 + -7q)(7 + -1q) = 0Subproblem 1
Set the factor '(-45 + -7q)' equal to zero and attempt to solve: Simplifying -45 + -7q = 0 Solving -45 + -7q = 0 Move all terms containing q to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -7q = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -7q = 0 + 45 -7q = 0 + 45 Combine like terms: 0 + 45 = 45 -7q = 45 Divide each side by '-7'. q = -6.428571429 Simplifying q = -6.428571429Subproblem 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 = {-6.428571429, 7}
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