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Simplifying 21r2 + -46rs + 24s2 = 0 Reorder the terms: -46rs + 21r2 + 24s2 = 0 Solving -46rs + 21r2 + 24s2 = 0 Solving for variable 'r'. Factor a trinomial. (3r + -4s)(7r + -6s) = 0Subproblem 1
Set the factor '(3r + -4s)' equal to zero and attempt to solve: Simplifying 3r + -4s = 0 Solving 3r + -4s = 0 Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. 3r + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 3r + 0 = 0 + 4s 3r = 0 + 4s Remove the zero: 3r = 4s Divide each side by '3'. r = 1.333333333s Simplifying r = 1.333333333sSubproblem 2
Set the factor '(7r + -6s)' equal to zero and attempt to solve: Simplifying 7r + -6s = 0 Solving 7r + -6s = 0 Move all terms containing r to the left, all other terms to the right. Add '6s' to each side of the equation. 7r + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 7r + 0 = 0 + 6s 7r = 0 + 6s Remove the zero: 7r = 6s Divide each side by '7'. r = 0.8571428571s Simplifying r = 0.8571428571sSolution
r = {1.333333333s, 0.8571428571s}
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