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Simplifying a(4i + -1I) = 0 Reorder the terms: a(-1I + 4i) = 0 (-1I * a + 4i * a) = 0 (-1aI + 4ai) = 0 Solving -1aI + 4ai = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(-1I + 4i) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-1I + 4i)' equal to zero and attempt to solve: Simplifying -1I + 4i = 0 Solving -1I + 4i = 0 Move all terms containing a to the left, all other terms to the right. Add 'I' to each side of the equation. -1I + I + 4i = 0 + I Combine like terms: -1I + I = 0 0 + 4i = 0 + I 4i = 0 + I Remove the zero: 4i = I Add '-4i' to each side of the equation. 4i + -4i = I + -4i Combine like terms: 4i + -4i = 0 0 = I + -4i Simplifying 0 = I + -4i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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