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Simplifying 20q2 + -13qs + -15qs2 = 0 Reorder the terms: -13qs + -15qs2 + 20q2 = 0 Solving -13qs + -15qs2 + 20q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(-13s + -15s2 + 20q) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(-13s + -15s2 + 20q)' equal to zero and attempt to solve: Simplifying -13s + -15s2 + 20q = 0 Reorder the terms: 20q + -13s + -15s2 = 0 Solving 20q + -13s + -15s2 = 0 Move all terms containing q to the left, all other terms to the right. Add '13s' to each side of the equation. 20q + -13s + 13s + -15s2 = 0 + 13s Combine like terms: -13s + 13s = 0 20q + 0 + -15s2 = 0 + 13s 20q + -15s2 = 0 + 13s Remove the zero: 20q + -15s2 = 13s Add '15s2' to each side of the equation. 20q + -15s2 + 15s2 = 13s + 15s2 Combine like terms: -15s2 + 15s2 = 0 20q + 0 = 13s + 15s2 20q = 13s + 15s2 Divide each side by '20'. q = 0.65s + 0.75s2 Simplifying q = 0.65s + 0.75s2Solution
q = {0, 0.65s + 0.75s2}
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