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Simplifying -2ix(-1 + -4i) = 0 (-1 * -2ix + -4i * -2ix) = 0 (2ix + 8i2x) = 0 Solving 2ix + 8i2x = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2ix'. 2ix(1 + 4i) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ix' equal to zero and attempt to solve: Simplifying ix = 0 Solving ix = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ix = 0 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 '(1 + 4i)' equal to zero and attempt to solve: Simplifying 1 + 4i = 0 Solving 1 + 4i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4i = 0 + -1 4i = 0 + -1 Combine like terms: 0 + -1 = -1 4i = -1 Divide each side by '4'. i = -0.25 Simplifying i = -0.25Solution
i = {-0.25}
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