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Simplifying 4bd4 + -4bj4 = 0 Solving 4bd4 + -4bj4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4b'. 4b(d4 + -1j4) = 0 Factor a difference between two squares. 4b((d2 + j2)(d2 + -1j2)) = 0 Factor a difference between two squares. 4b((d2 + j2)((d + j)(d + -1j))) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(d2 + j2)' equal to zero and attempt to solve: Simplifying d2 + j2 = 0 Solving d2 + j2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1d2' to each side of the equation. d2 + -1d2 + j2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 0 + j2 = 0 + -1d2 j2 = 0 + -1d2 Remove the zero: j2 = -1d2 Add '-1j2' to each side of the equation. j2 + -1j2 = -1d2 + -1j2 Combine like terms: j2 + -1j2 = 0 0 = -1d2 + -1j2 Simplifying 0 = -1d2 + -1j2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(d + j)' equal to zero and attempt to solve: Simplifying d + j = 0 Solving d + j = 0 Move all terms containing b to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d + j = 0 + -1d Combine like terms: d + -1d = 0 0 + j = 0 + -1d j = 0 + -1d Remove the zero: j = -1d Add '-1j' to each side of the equation. j + -1j = -1d + -1j Combine like terms: j + -1j = 0 0 = -1d + -1j Simplifying 0 = -1d + -1j The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(d + -1j)' equal to zero and attempt to solve: Simplifying d + -1j = 0 Solving d + -1j = 0 Move all terms containing b to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d + -1j = 0 + -1d Combine like terms: d + -1d = 0 0 + -1j = 0 + -1d -1j = 0 + -1d Remove the zero: -1j = -1d Add 'j' to each side of the equation. -1j + j = -1d + j Combine like terms: -1j + j = 0 0 = -1d + j Simplifying 0 = -1d + j The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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