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Simplifying 16j3 + 44j2 + -126j = 0 Reorder the terms: -126j + 44j2 + 16j3 = 0 Solving -126j + 44j2 + 16j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2j'. 2j(-63 + 22j + 8j2) = 0 Factor a trinomial. 2j((-9 + -2j)(7 + -4j)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(-9 + -2j)' equal to zero and attempt to solve: Simplifying -9 + -2j = 0 Solving -9 + -2j = 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 + -2j = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2j = 0 + 9 -2j = 0 + 9 Combine like terms: 0 + 9 = 9 -2j = 9 Divide each side by '-2'. j = -4.5 Simplifying j = -4.5Subproblem 3
Set the factor '(7 + -4j)' equal to zero and attempt to solve: Simplifying 7 + -4j = 0 Solving 7 + -4j = 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 + -4j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4j = 0 + -7 -4j = 0 + -7 Combine like terms: 0 + -7 = -7 -4j = -7 Divide each side by '-4'. j = 1.75 Simplifying j = 1.75Solution
j = {0, -4.5, 1.75}
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