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Simplifying 4q2 + 7q + -36 = 0 Reorder the terms: -36 + 7q + 4q2 = 0 Solving -36 + 7q + 4q2 = 0 Solving for variable 'q'. Factor a trinomial. (-4 + -1q)(9 + -4q) = 0Subproblem 1
Set the factor '(-4 + -1q)' equal to zero and attempt to solve: Simplifying -4 + -1q = 0 Solving -4 + -1q = 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 + -1q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = 0 + 4 -1q = 0 + 4 Combine like terms: 0 + 4 = 4 -1q = 4 Divide each side by '-1'. q = -4 Simplifying q = -4Subproblem 2
Set the factor '(9 + -4q)' equal to zero and attempt to solve: Simplifying 9 + -4q = 0 Solving 9 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4q = 0 + -9 -4q = 0 + -9 Combine like terms: 0 + -9 = -9 -4q = -9 Divide each side by '-4'. q = 2.25 Simplifying q = 2.25Solution
q = {-4, 2.25}
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