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Simplifying 2j2 + 4j + -126 = 0 Reorder the terms: -126 + 4j + 2j2 = 0 Solving -126 + 4j + 2j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + 2j + j2) = 0 Factor a trinomial. 2((-9 + -1j)(7 + -1j)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1j)' equal to zero and attempt to solve: Simplifying -9 + -1j = 0 Solving -9 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1j = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1j = 0 + 9 -1j = 0 + 9 Combine like terms: 0 + 9 = 9 -1j = 9 Divide each side by '-1'. j = -9 Simplifying j = -9Subproblem 2
Set the factor '(7 + -1j)' equal to zero and attempt to solve: Simplifying 7 + -1j = 0 Solving 7 + -1j = 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 + -1j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = 0 + -7 -1j = 0 + -7 Combine like terms: 0 + -7 = -7 -1j = -7 Divide each side by '-1'. j = 7 Simplifying j = 7Solution
j = {-9, 7}
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