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Simplifying (10r * s * r2 + rs)(r3 + -1rs * 8r2 * s) = 0 Multiply r * s (10rs * r2 + rs)(r3 + -1rs * 8r2 * s) = 0 Multiply rs * r2 (10r3s + rs)(r3 + -1rs * 8r2 * s) = 0 Reorder the terms: (rs + 10r3s)(r3 + -1rs * 8r2 * s) = 0 Reorder the terms for easier multiplication: (rs + 10r3s)(r3 + -1 * 8rs * r2 * s) = 0 Multiply -1 * 8 (rs + 10r3s)(r3 + -8rs * r2 * s) = 0 Multiply rs * r2 (rs + 10r3s)(r3 + -8r3s * s) = 0 Multiply r3s * s (rs + 10r3s)(r3 + -8r3s2) = 0 Multiply (rs + 10r3s) * (r3 + -8r3s2) (rs(r3 + -8r3s2) + 10r3s * (r3 + -8r3s2)) = 0 ((r3 * rs + -8r3s2 * rs) + 10r3s * (r3 + -8r3s2)) = 0 ((r4s + -8r4s3) + 10r3s * (r3 + -8r3s2)) = 0 (r4s + -8r4s3 + (r3 * 10r3s + -8r3s2 * 10r3s)) = 0 (r4s + -8r4s3 + (10r6s + -80r6s3)) = 0 (r4s + -8r4s3 + 10r6s + -80r6s3) = 0 Solving r4s + -8r4s3 + 10r6s + -80r6s3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r4s'. r4s(1 + -8s2 + 10r2 + -80r2s2) = 0Subproblem 1
Set the factor 'r4s' equal to zero and attempt to solve: Simplifying r4s = 0 Solving r4s = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r4s = 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 '(1 + -8s2 + 10r2 + -80r2s2)' equal to zero and attempt to solve: Simplifying 1 + -8s2 + 10r2 + -80r2s2 = 0 Reorder the terms: 1 + 10r2 + -80r2s2 + -8s2 = 0 Solving 1 + 10r2 + -80r2s2 + -8s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 10r2 + -80r2s2 + -1 + -8s2 = 0 + -1 Reorder the terms: 1 + -1 + 10r2 + -80r2s2 + -8s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10r2 + -80r2s2 + -8s2 = 0 + -1 10r2 + -80r2s2 + -8s2 = 0 + -1 Combine like terms: 0 + -1 = -1 10r2 + -80r2s2 + -8s2 = -1 Add '8s2' to each side of the equation. 10r2 + -80r2s2 + -8s2 + 8s2 = -1 + 8s2 Combine like terms: -8s2 + 8s2 = 0 10r2 + -80r2s2 + 0 = -1 + 8s2 10r2 + -80r2s2 = -1 + 8s2 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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