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Simplifying 95j2 + 85j + -10 = 0 Reorder the terms: -10 + 85j + 95j2 = 0 Solving -10 + 85j + 95j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + 17j + 19j2) = 0 Factor a trinomial. 5((-1 + -1j)(2 + -19j)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1j)' equal to zero and attempt to solve: Simplifying -1 + -1j = 0 Solving -1 + -1j = 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 + -1j = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1j = 0 + 1 -1j = 0 + 1 Combine like terms: 0 + 1 = 1 -1j = 1 Divide each side by '-1'. j = -1 Simplifying j = -1Subproblem 2
Set the factor '(2 + -19j)' equal to zero and attempt to solve: Simplifying 2 + -19j = 0 Solving 2 + -19j = 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 + -19j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -19j = 0 + -2 -19j = 0 + -2 Combine like terms: 0 + -2 = -2 -19j = -2 Divide each side by '-19'. j = 0.1052631579 Simplifying j = 0.1052631579Solution
j = {-1, 0.1052631579}
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