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Simplifying 12j9 + -28j8 + 15j7 = 0 Reorder the terms: 15j7 + -28j8 + 12j9 = 0 Solving 15j7 + -28j8 + 12j9 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), 'j7'. j7(15 + -28j + 12j2) = 0 Factor a trinomial. j7((5 + -6j)(3 + -2j)) = 0Subproblem 1
Set the factor 'j7' equal to zero and attempt to solve: Simplifying j7 = 0 Solving j7 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j7 = 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 '(5 + -6j)' equal to zero and attempt to solve: Simplifying 5 + -6j = 0 Solving 5 + -6j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6j = 0 + -5 -6j = 0 + -5 Combine like terms: 0 + -5 = -5 -6j = -5 Divide each side by '-6'. j = 0.8333333333 Simplifying j = 0.8333333333Subproblem 3
Set the factor '(3 + -2j)' equal to zero and attempt to solve: Simplifying 3 + -2j = 0 Solving 3 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = 0 + -3 -2j = 0 + -3 Combine like terms: 0 + -3 = -3 -2j = -3 Divide each side by '-2'. j = 1.5 Simplifying j = 1.5Solution
j = {0.8333333333, 1.5}
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