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Simplifying 4rd4 + -4rn4 = 0 Solving 4d4r + -4n4r = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4n4r' to each side of the equation. 4d4r + -4n4r + 4n4r = 0 + 4n4r Combine like terms: -4n4r + 4n4r = 0 4d4r + 0 = 0 + 4n4r 4d4r = 0 + 4n4r Remove the zero: 4d4r = 4n4r Divide each side by '4r'. d4 = n4 Simplifying d4 = n4 Combine like terms: n4 + -1n4 = 0 d4 + -1n4 = 0 Factor a difference between two squares. (d2 + n2)(d2 + -1n2) = 0 Factor a difference between two squares. (d2 + n2)((d + n)(d + -1n)) = 0Subproblem 1
Set the factor '(d2 + n2)' equal to zero and attempt to solve: Simplifying d2 + n2 = 0 Solving d2 + n2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1n2' to each side of the equation. d2 + n2 + -1n2 = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 d2 + 0 = 0 + -1n2 d2 = 0 + -1n2 Remove the zero: d2 = -1n2 Simplifying d2 = -1n2 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 '(d + n)' equal to zero and attempt to solve: Simplifying d + n = 0 Solving d + n = 0 Move all terms containing d to the left, all other terms to the right. Add '-1n' to each side of the equation. d + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 d + 0 = 0 + -1n d = 0 + -1n Remove the zero: d = -1n Simplifying d = -1nSubproblem 3
Set the factor '(d + -1n)' equal to zero and attempt to solve: Simplifying d + -1n = 0 Solving d + -1n = 0 Move all terms containing d to the left, all other terms to the right. Add 'n' to each side of the equation. d + -1n + n = 0 + n Combine like terms: -1n + n = 0 d + 0 = 0 + n d = 0 + n Remove the zero: d = n Simplifying d = nSolution
d = {-1n, n}
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