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Simplifying (j)(7j)(7 + -2j) = 0 Remove parenthesis around (7j) j * 7j(7 + -2j) = 0 Reorder the terms for easier multiplication: 7j * j(7 + -2j) = 0 Multiply j * j 7j2(7 + -2j) = 0 (7 * 7j2 + -2j * 7j2) = 0 (49j2 + -14j3) = 0 Solving 49j2 + -14j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '7j2'. 7j2(7 + -2j) = 0 Ignore the factor 7.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 '(7 + -2j)' equal to zero and attempt to solve: Simplifying 7 + -2j = 0 Solving 7 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2j = 0 + -7 -2j = 0 + -7 Combine like terms: 0 + -7 = -7 -2j = -7 Divide each side by '-2'. j = 3.5 Simplifying j = 3.5Solution
j = {0, 3.5}
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