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Simplifying 8bt4 + -8bj4 = 0 Reorder the terms: -8bj4 + 8bt4 = 0 Solving -8bj4 + 8bt4 = 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), '8b'. 8b(-1j4 + t4) = 0 Factor a difference between two squares. 8b((j2 + t2)(-1j2 + t2)) = 0 Factor a difference between two squares. 8b((j2 + t2)((j + t)(-1j + t))) = 0 Ignore the factor 8.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 '(j2 + t2)' equal to zero and attempt to solve: Simplifying j2 + t2 = 0 Solving j2 + t2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1j2' to each side of the equation. j2 + -1j2 + t2 = 0 + -1j2 Combine like terms: j2 + -1j2 = 0 0 + t2 = 0 + -1j2 t2 = 0 + -1j2 Remove the zero: t2 = -1j2 Add '-1t2' to each side of the equation. t2 + -1t2 = -1j2 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1j2 + -1t2 Simplifying 0 = -1j2 + -1t2 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 '(j + t)' equal to zero and attempt to solve: Simplifying j + t = 0 Solving j + t = 0 Move all terms containing b to the left, all other terms to the right. Add '-1j' to each side of the equation. j + -1j + t = 0 + -1j Combine like terms: j + -1j = 0 0 + t = 0 + -1j t = 0 + -1j Remove the zero: t = -1j Add '-1t' to each side of the equation. t + -1t = -1j + -1t Combine like terms: t + -1t = 0 0 = -1j + -1t Simplifying 0 = -1j + -1t 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 '(-1j + t)' equal to zero and attempt to solve: Simplifying -1j + t = 0 Solving -1j + t = 0 Move all terms containing b to the left, all other terms to the right. Add 'j' to each side of the equation. -1j + j + t = 0 + j Combine like terms: -1j + j = 0 0 + t = 0 + j t = 0 + j Remove the zero: t = j Add '-1t' to each side of the equation. t + -1t = j + -1t Combine like terms: t + -1t = 0 0 = j + -1t Simplifying 0 = j + -1t 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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