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Simplifying 15j2 + -35j + 10 = 0 Reorder the terms: 10 + -35j + 15j2 = 0 Solving 10 + -35j + 15j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -7j + 3j2) = 0 Factor a trinomial. 5((1 + -3j)(2 + -1j)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -3j)' equal to zero and attempt to solve: Simplifying 1 + -3j = 0 Solving 1 + -3j = 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 + -3j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3j = 0 + -1 -3j = 0 + -1 Combine like terms: 0 + -1 = -1 -3j = -1 Divide each side by '-3'. j = 0.3333333333 Simplifying j = 0.3333333333Subproblem 2
Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 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 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Divide each side by '-1'. j = 2 Simplifying j = 2Solution
j = {0.3333333333, 2}
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