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Simplifying 6j2 + -19j + 14 = 0 Reorder the terms: 14 + -19j + 6j2 = 0 Solving 14 + -19j + 6j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + -6j)(2 + -1j) = 0Subproblem 1
Set the factor '(7 + -6j)' equal to zero and attempt to solve: Simplifying 7 + -6j = 0 Solving 7 + -6j = 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 + -6j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6j = 0 + -7 -6j = 0 + -7 Combine like terms: 0 + -7 = -7 -6j = -7 Divide each side by '-6'. j = 1.166666667 Simplifying j = 1.166666667Subproblem 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 = {1.166666667, 2}
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