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Simplifying 15j3 + -14j2 = 8j Reorder the terms: -14j2 + 15j3 = 8j Solving -14j2 + 15j3 = 8j Solving for variable 'j'. Reorder the terms: -8j + -14j2 + 15j3 = 8j + -8j Combine like terms: 8j + -8j = 0 -8j + -14j2 + 15j3 = 0 Factor out the Greatest Common Factor (GCF), 'j'. j(-8 + -14j + 15j2) = 0 Factor a trinomial. j((-2 + -5j)(4 + -3j)) = 0Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(-2 + -5j)' equal to zero and attempt to solve: Simplifying -2 + -5j = 0 Solving -2 + -5j = 0 Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5j = 0 + 2 -5j = 0 + 2 Combine like terms: 0 + 2 = 2 -5j = 2 Divide each side by '-5'. j = -0.4 Simplifying j = -0.4Subproblem 3
Set the factor '(4 + -3j)' equal to zero and attempt to solve: Simplifying 4 + -3j = 0 Solving 4 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3j = 0 + -4 -3j = 0 + -4 Combine like terms: 0 + -4 = -4 -3j = -4 Divide each side by '-3'. j = 1.333333333 Simplifying j = 1.333333333Solution
j = {0, -0.4, 1.333333333}
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