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Simplifying 30s2 + 17sr + -35r2 = 0 Reorder the terms: 17rs + -35r2 + 30s2 = 0 Solving 17rs + -35r2 + 30s2 = 0 Solving for variable 'r'. Factor a trinomial. (-7r + -5s)(5r + -6s) = 0Subproblem 1
Set the factor '(-7r + -5s)' equal to zero and attempt to solve: Simplifying -7r + -5s = 0 Solving -7r + -5s = 0 Move all terms containing r to the left, all other terms to the right. Add '5s' to each side of the equation. -7r + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 -7r + 0 = 0 + 5s -7r = 0 + 5s Remove the zero: -7r = 5s Divide each side by '-7'. r = -0.7142857143s Simplifying r = -0.7142857143sSubproblem 2
Set the factor '(5r + -6s)' equal to zero and attempt to solve: Simplifying 5r + -6s = 0 Solving 5r + -6s = 0 Move all terms containing r to the left, all other terms to the right. Add '6s' to each side of the equation. 5r + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 5r + 0 = 0 + 6s 5r = 0 + 6s Remove the zero: 5r = 6s Divide each side by '5'. r = 1.2s Simplifying r = 1.2sSolution
r = {-0.7142857143s, 1.2s}
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