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Simplifying (8j)(-2j)(-2 + -8j) = 0 Remove parenthesis around (8j) 8j(-2j)(-2 + -8j) = 0 Remove parenthesis around (-2j) 8j * -2j(-2 + -8j) = 0 Reorder the terms for easier multiplication: 8 * -2j * j(-2 + -8j) = 0 Multiply 8 * -2 -16j * j(-2 + -8j) = 0 Multiply j * j -16j2(-2 + -8j) = 0 (-2 * -16j2 + -8j * -16j2) = 0 (32j2 + 128j3) = 0 Solving 32j2 + 128j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '32j2'. 32j2(1 + 4j) = 0 Ignore the factor 32.Subproblem 1
Set the factor 'j2' equal to zero and attempt to solve: Simplifying j2 = 0 Solving j2 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j2 = 0 Take the square root of each side: j = {0}Subproblem 2
Set the factor '(1 + 4j)' equal to zero and attempt to solve: Simplifying 1 + 4j = 0 Solving 1 + 4j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4j = 0 + -1 4j = 0 + -1 Combine like terms: 0 + -1 = -1 4j = -1 Divide each side by '4'. j = -0.25 Simplifying j = -0.25Solution
j = {0, -0.25}
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