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Simplifying 14j2 + 15j + -9 = 0 Reorder the terms: -9 + 15j + 14j2 = 0 Solving -9 + 15j + 14j2 = 0 Solving for variable 'j'. Factor a trinomial. (-3 + -2j)(3 + -7j) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(3 + -7j)' equal to zero and attempt to solve: Simplifying 3 + -7j = 0 Solving 3 + -7j = 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 + -7j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7j = 0 + -3 -7j = 0 + -3 Combine like terms: 0 + -3 = -3 -7j = -3 Divide each side by '-7'. j = 0.4285714286 Simplifying j = 0.4285714286Solution
j = {-1.5, 0.4285714286}
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