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Simplifying 20q2 + -13qs + -15s2 = 0 Reorder the terms: -13qs + 20q2 + -15s2 = 0 Solving -13qs + 20q2 + -15s2 = 0 Solving for variable 'q'. Factor a trinomial. (4q + -5s)(5q + 3s) = 0Subproblem 1
Set the factor '(4q + -5s)' equal to zero and attempt to solve: Simplifying 4q + -5s = 0 Solving 4q + -5s = 0 Move all terms containing q to the left, all other terms to the right. Add '5s' to each side of the equation. 4q + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 4q + 0 = 0 + 5s 4q = 0 + 5s Remove the zero: 4q = 5s Divide each side by '4'. q = 1.25s Simplifying q = 1.25sSubproblem 2
Set the factor '(5q + 3s)' equal to zero and attempt to solve: Simplifying 5q + 3s = 0 Solving 5q + 3s = 0 Move all terms containing q to the left, all other terms to the right. Add '-3s' to each side of the equation. 5q + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 5q + 0 = 0 + -3s 5q = 0 + -3s Remove the zero: 5q = -3s Divide each side by '5'. q = -0.6s Simplifying q = -0.6sSolution
q = {1.25s, -0.6s}
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