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Simplifying 5j3 + -80j = 0 Reorder the terms: -80j + 5j3 = 0 Solving -80j + 5j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5j'. 5j(-16 + j2) = 0 Factor a difference between two squares. 5j((4 + j)(-4 + j)) = 0 Ignore the factor 5.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 '(4 + j)' equal to zero and attempt to solve: Simplifying 4 + j = 0 Solving 4 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + j = 0 + -4 j = 0 + -4 Combine like terms: 0 + -4 = -4 j = -4 Simplifying j = -4Subproblem 3
Set the factor '(-4 + j)' equal to zero and attempt to solve: Simplifying -4 + j = 0 Solving -4 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + j = 0 + 4 Combine like terms: -4 + 4 = 0 0 + j = 0 + 4 j = 0 + 4 Combine like terms: 0 + 4 = 4 j = 4 Simplifying j = 4Solution
j = {0, -4, 4}
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