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Simplifying 7r3s(4rs + 1 + -5rs2) = 0 Reorder the terms: 7r3s(1 + 4rs + -5rs2) = 0 (1 * 7r3s + 4rs * 7r3s + -5rs2 * 7r3s) = 0 (7r3s + 28r4s2 + -35r4s3) = 0 Solving 7r3s + 28r4s2 + -35r4s3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r3s'. 7r3s(1 + 4rs + -5rs2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'r3s' equal to zero and attempt to solve: Simplifying r3s = 0 Solving r3s = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3s = 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 + 4rs + -5rs2)' equal to zero and attempt to solve: Simplifying 1 + 4rs + -5rs2 = 0 Solving 1 + 4rs + -5rs2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4rs + -1 + -5rs2 = 0 + -1 Reorder the terms: 1 + -1 + 4rs + -5rs2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4rs + -5rs2 = 0 + -1 4rs + -5rs2 = 0 + -1 Combine like terms: 0 + -1 = -1 4rs + -5rs2 = -1 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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