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Simplifying 6q2 + -13qs + -63s2 = 0 Reorder the terms: -13qs + 6q2 + -63s2 = 0 Solving -13qs + 6q2 + -63s2 = 0 Solving for variable 'q'. Factor a trinomial. (2q + -9s)(3q + 7s) = 0Subproblem 1
Set the factor '(2q + -9s)' equal to zero and attempt to solve: Simplifying 2q + -9s = 0 Solving 2q + -9s = 0 Move all terms containing q to the left, all other terms to the right. Add '9s' to each side of the equation. 2q + -9s + 9s = 0 + 9s Combine like terms: -9s + 9s = 0 2q + 0 = 0 + 9s 2q = 0 + 9s Remove the zero: 2q = 9s Divide each side by '2'. q = 4.5s Simplifying q = 4.5sSubproblem 2
Set the factor '(3q + 7s)' equal to zero and attempt to solve: Simplifying 3q + 7s = 0 Solving 3q + 7s = 0 Move all terms containing q to the left, all other terms to the right. Add '-7s' to each side of the equation. 3q + 7s + -7s = 0 + -7s Combine like terms: 7s + -7s = 0 3q + 0 = 0 + -7s 3q = 0 + -7s Remove the zero: 3q = -7s Divide each side by '3'. q = -2.333333333s Simplifying q = -2.333333333sSolution
q = {4.5s, -2.333333333s}
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