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Simplifying 10r2s2 + -13rs2 + -9s2 = 0 Reorder the terms: -13rs2 + 10r2s2 + -9s2 = 0 Solving -13rs2 + 10r2s2 + -9s2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 's2'. s2(-13r + 10r2 + -9) = 0 Factor a trinomial. s2((5r + -9)(2r + 1)) = 0Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1s2' to each side of the equation. s2 + -1s2 = 0 + -1s2 Remove the zero: 0 = -1s2 Simplifying 0 = -1s2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5r + -9)' equal to zero and attempt to solve: Simplifying 5r + -9 = 0 Reorder the terms: -9 + 5r = 0 Solving -9 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5r = 0 + 9 5r = 0 + 9 Combine like terms: 0 + 9 = 9 5r = 9 Divide each side by '5'. r = 1.8 Simplifying r = 1.8Subproblem 3
Set the factor '(2r + 1)' equal to zero and attempt to solve: Simplifying 2r + 1 = 0 Reorder the terms: 1 + 2r = 0 Solving 1 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 0 + -1 2r = 0 + -1 Combine like terms: 0 + -1 = -1 2r = -1 Divide each side by '2'. r = -0.5 Simplifying r = -0.5Solution
r = {1.8, -0.5}
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