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Simplifying 30j2 + -27j + -21 = 0 Reorder the terms: -21 + -27j + 30j2 = 0 Solving -21 + -27j + 30j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -9j + 10j2) = 0 Factor a trinomial. 3((-1 + -2j)(7 + -5j)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2j)' equal to zero and attempt to solve: Simplifying -1 + -2j = 0 Solving -1 + -2j = 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 + -2j = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2j = 0 + 1 -2j = 0 + 1 Combine like terms: 0 + 1 = 1 -2j = 1 Divide each side by '-2'. j = -0.5 Simplifying j = -0.5Subproblem 2
Set the factor '(7 + -5j)' equal to zero and attempt to solve: Simplifying 7 + -5j = 0 Solving 7 + -5j = 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 + -5j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5j = 0 + -7 -5j = 0 + -7 Combine like terms: 0 + -7 = -7 -5j = -7 Divide each side by '-5'. j = 1.4 Simplifying j = 1.4Solution
j = {-0.5, 1.4}
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