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Simplifying 60j2 + -490j + 80 = 0 Reorder the terms: 80 + -490j + 60j2 = 0 Solving 80 + -490j + 60j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '10'. 10(8 + -49j + 6j2) = 0 Factor a trinomial. 10((1 + -6j)(8 + -1j)) = 0 Ignore the factor 10.Subproblem 1
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 = 0.1666666667Subproblem 2
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 = 8Solution
j = {0.1666666667, 8}
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