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Simplifying r2 * s2 + 4rs + -21 = 0 Multiply r2 * s2 r2s2 + 4rs + -21 = 0 Reorder the terms: -21 + 4rs + r2s2 = 0 Solving -21 + 4rs + r2s2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -1rs)(3 + -1rs) = 0Subproblem 1
Set the factor '(-7 + -1rs)' equal to zero and attempt to solve: Simplifying -7 + -1rs = 0 Solving -7 + -1rs = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1rs = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1rs = 0 + 7 -1rs = 0 + 7 Combine like terms: 0 + 7 = 7 -1rs = 7 Divide each side by '-1s'. r = -7s-1 Simplifying r = -7s-1Subproblem 2
Set the factor '(3 + -1rs)' equal to zero and attempt to solve: Simplifying 3 + -1rs = 0 Solving 3 + -1rs = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1rs = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1rs = 0 + -3 -1rs = 0 + -3 Combine like terms: 0 + -3 = -3 -1rs = -3 Divide each side by '-1s'. r = 3s-1 Simplifying r = 3s-1Solution
r = {-7s-1, 3s-1}
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