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Simplifying 5j2 + -40j = 0 Reorder the terms: -40j + 5j2 = 0 Solving -40j + 5j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5j'. 5j(-8 + 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 '(-8 + j)' equal to zero and attempt to solve: Simplifying -8 + j = 0 Solving -8 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + j = 0 + 8 j = 0 + 8 Combine like terms: 0 + 8 = 8 j = 8 Simplifying j = 8Solution
j = {0, 8}
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