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Simplifying 36r2 + 91rs + -22s2 = 0 Reorder the terms: 91rs + 36r2 + -22s2 = 0 Solving 91rs + 36r2 + -22s2 = 0 Solving for variable 'r'. Factor a trinomial. (9r + -2s)(4r + 11s) = 0Subproblem 1
Set the factor '(9r + -2s)' equal to zero and attempt to solve: Simplifying 9r + -2s = 0 Solving 9r + -2s = 0 Move all terms containing r to the left, all other terms to the right. Add '2s' to each side of the equation. 9r + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 9r + 0 = 0 + 2s 9r = 0 + 2s Remove the zero: 9r = 2s Divide each side by '9'. r = 0.2222222222s Simplifying r = 0.2222222222sSubproblem 2
Set the factor '(4r + 11s)' equal to zero and attempt to solve: Simplifying 4r + 11s = 0 Solving 4r + 11s = 0 Move all terms containing r to the left, all other terms to the right. Add '-11s' to each side of the equation. 4r + 11s + -11s = 0 + -11s Combine like terms: 11s + -11s = 0 4r + 0 = 0 + -11s 4r = 0 + -11s Remove the zero: 4r = -11s Divide each side by '4'. r = -2.75s Simplifying r = -2.75sSolution
r = {0.2222222222s, -2.75s}
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