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Simplifying (2 + -4j) * x + 9 + (1 + 4j) = 0 Reorder the terms for easier multiplication: x(2 + -4j) + 9 + (1 + 4j) = 0 (2 * x + -4j * x) + 9 + (1 + 4j) = 0 Reorder the terms: (-4jx + 2x) + 9 + (1 + 4j) = 0 (-4jx + 2x) + 9 + (1 + 4j) = 0 Remove parenthesis around (1 + 4j) -4jx + 2x + 9 + 1 + 4j = 0 Reorder the terms: 9 + 1 + 4j + -4jx + 2x = 0 Combine like terms: 9 + 1 = 10 10 + 4j + -4jx + 2x = 0 Solving 10 + 4j + -4jx + 2x = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4j + -4jx + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + 4j + -4jx + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4j + -4jx + 2x = 0 + -10 4j + -4jx + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 4j + -4jx + 2x = -10 Add '-2x' to each side of the equation. 4j + -4jx + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 4j + -4jx + 0 = -10 + -2x 4j + -4jx = -10 + -2x Reorder the terms: 10 + 4j + -4jx + 2x = -10 + -2x + 10 + 2x Reorder the terms: 10 + 4j + -4jx + 2x = -10 + 10 + -2x + 2x Combine like terms: -10 + 10 = 0 10 + 4j + -4jx + 2x = 0 + -2x + 2x 10 + 4j + -4jx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 10 + 4j + -4jx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 2j + -2jx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 2j + -2jx + x)' equal to zero and attempt to solve: Simplifying 5 + 2j + -2jx + x = 0 Solving 5 + 2j + -2jx + x = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2j + -2jx + -5 + x = 0 + -5 Reorder the terms: 5 + -5 + 2j + -2jx + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2j + -2jx + x = 0 + -5 2j + -2jx + x = 0 + -5 Combine like terms: 0 + -5 = -5 2j + -2jx + x = -5 Add '-1x' to each side of the equation. 2j + -2jx + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 2j + -2jx + 0 = -5 + -1x 2j + -2jx = -5 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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