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Simplifying 75j2 = 84j Solving 75j2 = 84j Solving for variable 'j'. Reorder the terms: -84j + 75j2 = 84j + -84j Combine like terms: 84j + -84j = 0 -84j + 75j2 = 0 Factor out the Greatest Common Factor (GCF), '3j'. 3j(-28 + 25j) = 0 Ignore the factor 3.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 '(-28 + 25j)' equal to zero and attempt to solve: Simplifying -28 + 25j = 0 Solving -28 + 25j = 0 Move all terms containing j to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 25j = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 25j = 0 + 28 25j = 0 + 28 Combine like terms: 0 + 28 = 28 25j = 28 Divide each side by '25'. j = 1.12 Simplifying j = 1.12Solution
j = {0, 1.12}
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