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Simplifying 6j2 + 47j + -8 = 0 Reorder the terms: -8 + 47j + 6j2 = 0 Solving -8 + 47j + 6j2 = 0 Solving for variable 'j'. Factor a trinomial. (-8 + -1j)(1 + -6j) = 0Subproblem 1
Set the factor '(-8 + -1j)' equal to zero and attempt to solve: Simplifying -8 + -1j = 0 Solving -8 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1j = 0 + 8 -1j = 0 + 8 Combine like terms: 0 + 8 = 8 -1j = 8 Divide each side by '-1'. j = -8 Simplifying j = -8Subproblem 2
Set the factor '(1 + -6j)' equal to zero and attempt to solve: Simplifying 1 + -6j = 0 Solving 1 + -6j = 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 + -6j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6j = 0 + -1 -6j = 0 + -1 Combine like terms: 0 + -1 = -1 -6j = -1 Divide each side by '-6'. j = 0.1666666667 Simplifying j = 0.1666666667Solution
j = {-8, 0.1666666667}
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