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Simplifying R4 + -1k4 = 0 Solving R4 + -1k4 = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add 'k4' to each side of the equation. R4 + -1k4 + k4 = 0 + k4 Combine like terms: -1k4 + k4 = 0 R4 + 0 = 0 + k4 R4 = 0 + k4 Remove the zero: R4 = k4 Simplifying R4 = k4 Combine like terms: k4 + -1k4 = 0 R4 + -1k4 = 0 Factor a difference between two squares. (R2 + k2)(R2 + -1k2) = 0 Factor a difference between two squares. (R2 + k2)((R + k)(R + -1k)) = 0Subproblem 1
Set the factor '(R2 + k2)' equal to zero and attempt to solve: Simplifying R2 + k2 = 0 Solving R2 + k2 = 0 Move all terms containing R to the left, all other terms to the right. Add '-1k2' to each side of the equation. R2 + k2 + -1k2 = 0 + -1k2 Combine like terms: k2 + -1k2 = 0 R2 + 0 = 0 + -1k2 R2 = 0 + -1k2 Remove the zero: R2 = -1k2 Simplifying R2 = -1k2 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 '(R + k)' equal to zero and attempt to solve: Simplifying R + k = 0 Solving R + k = 0 Move all terms containing R to the left, all other terms to the right. Add '-1k' to each side of the equation. R + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 R + 0 = 0 + -1k R = 0 + -1k Remove the zero: R = -1k Simplifying R = -1kSubproblem 3
Set the factor '(R + -1k)' equal to zero and attempt to solve: Simplifying R + -1k = 0 Solving R + -1k = 0 Move all terms containing R to the left, all other terms to the right. Add 'k' to each side of the equation. R + -1k + k = 0 + k Combine like terms: -1k + k = 0 R + 0 = 0 + k R = 0 + k Remove the zero: R = k Simplifying R = kSolution
R = {-1k, k}
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