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Simplifying 28r4s3 + 7r2s + -35r4s3 = 0 Reorder the terms: 7r2s + 28r4s3 + -35r4s3 = 0 Combine like terms: 28r4s3 + -35r4s3 = -7r4s3 7r2s + -7r4s3 = 0 Solving 7r2s + -7r4s3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r2s'. 7r2s(1 + -1r2s2) = 0 Factor a difference between two squares. 7r2s((1 + rs)(1 + -1rs)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'r2s' equal to zero and attempt to solve: Simplifying r2s = 0 Solving r2s = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2s = 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 + rs)' equal to zero and attempt to solve: Simplifying 1 + rs = 0 Solving 1 + rs = 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 + rs = 0 + -1 Combine like terms: 1 + -1 = 0 0 + rs = 0 + -1 rs = 0 + -1 Combine like terms: 0 + -1 = -1 rs = -1 Divide each side by 's'. r = -1s-1 Simplifying r = -1s-1Subproblem 3
Set the factor '(1 + -1rs)' equal to zero and attempt to solve: Simplifying 1 + -1rs = 0 Solving 1 + -1rs = 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 + -1rs = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1rs = 0 + -1 -1rs = 0 + -1 Combine like terms: 0 + -1 = -1 -1rs = -1 Divide each side by '-1s'. r = s-1 Simplifying r = s-1Solution
r = {-1s-1, s-1}
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