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Simplifying 15rs4t + -15r2s3 + 10rs2 = 0 Reorder the terms: 10rs2 + 15rs4t + -15r2s3 = 0 Solving 10rs2 + 15rs4t + -15r2s3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5rs2'. 5rs2(2 + 3s2t + -3rs) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'rs2' equal to zero and attempt to solve: Simplifying rs2 = 0 Solving rs2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rs2 = 0 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 '(2 + 3s2t + -3rs)' equal to zero and attempt to solve: Simplifying 2 + 3s2t + -3rs = 0 Reorder the terms: 2 + -3rs + 3s2t = 0 Solving 2 + -3rs + 3s2t = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3rs + -2 + 3s2t = 0 + -2 Reorder the terms: 2 + -2 + -3rs + 3s2t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3rs + 3s2t = 0 + -2 -3rs + 3s2t = 0 + -2 Combine like terms: 0 + -2 = -2 -3rs + 3s2t = -2 Add '-3s2t' to each side of the equation. -3rs + 3s2t + -3s2t = -2 + -3s2t Combine like terms: 3s2t + -3s2t = 0 -3rs + 0 = -2 + -3s2t -3rs = -2 + -3s2t Divide each side by '-3s'. r = 0.6666666667s-1 + st Simplifying r = 0.6666666667s-1 + stSolution
r = {0.6666666667s-1 + st}
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