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Simplifying 3rs2(27r3 + -8s3) = 0 (27r3 * 3rs2 + -8s3 * 3rs2) = 0 Reorder the terms: (-24rs5 + 81r4s2) = 0 (-24rs5 + 81r4s2) = 0 Solving -24rs5 + 81r4s2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3rs2'. 3rs2(-8s3 + 27r3) = 0 Ignore the factor 3.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 '(-8s3 + 27r3)' equal to zero and attempt to solve: Simplifying -8s3 + 27r3 = 0 Reorder the terms: 27r3 + -8s3 = 0 Solving 27r3 + -8s3 = 0 Move all terms containing r to the left, all other terms to the right. Add '8s3' to each side of the equation. 27r3 + -8s3 + 8s3 = 0 + 8s3 Combine like terms: -8s3 + 8s3 = 0 27r3 + 0 = 0 + 8s3 27r3 = 0 + 8s3 Remove the zero: 27r3 = 8s3 Divide each side by '27'. r3 = 0.2962962963s3 Simplifying r3 = 0.2962962963s3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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