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Simplifying rsx2 + s2x + rtx + sx = 0 Reorder the terms: rsx2 + rtx + sx + s2x = 0 Solving rsx2 + rtx + sx + s2x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1sx' to each side of the equation. rsx2 + rtx + sx + -1sx + s2x = 0 + -1sx Combine like terms: sx + -1sx = 0 rsx2 + rtx + 0 + s2x = 0 + -1sx rsx2 + rtx + s2x = 0 + -1sx Remove the zero: rsx2 + rtx + s2x = -1sx Add '-1s2x' to each side of the equation. rsx2 + rtx + s2x + -1s2x = -1sx + -1s2x Combine like terms: s2x + -1s2x = 0 rsx2 + rtx + 0 = -1sx + -1s2x rsx2 + rtx = -1sx + -1s2x Reorder the terms: rsx2 + rtx + sx + s2x = -1sx + sx + -1s2x + s2x Combine like terms: -1sx + sx = 0 rsx2 + rtx + sx + s2x = 0 + -1s2x + s2x rsx2 + rtx + sx + s2x = -1s2x + s2x Combine like terms: -1s2x + s2x = 0 rsx2 + rtx + sx + s2x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(rsx + rt + s + s2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing r to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(rsx + rt + s + s2)' equal to zero and attempt to solve: Simplifying rsx + rt + s + s2 = 0 Solving rsx + rt + s + s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1s' to each side of the equation. rsx + rt + s + -1s + s2 = 0 + -1s Combine like terms: s + -1s = 0 rsx + rt + 0 + s2 = 0 + -1s rsx + rt + s2 = 0 + -1s Remove the zero: rsx + rt + s2 = -1s Add '-1s2' to each side of the equation. rsx + rt + s2 + -1s2 = -1s + -1s2 Combine like terms: s2 + -1s2 = 0 rsx + rt + 0 = -1s + -1s2 rsx + rt = -1s + -1s2 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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