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Simplifying 27j = 12j2 Solving 27j = 12j2 Solving for variable 'j'. Combine like terms: 12j2 + -12j2 = 0 27j + -12j2 = 0 Factor out the Greatest Common Factor (GCF), '3j'. 3j(9 + -4j) = 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 '(9 + -4j)' equal to zero and attempt to solve: Simplifying 9 + -4j = 0 Solving 9 + -4j = 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 + -4j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4j = 0 + -9 -4j = 0 + -9 Combine like terms: 0 + -9 = -9 -4j = -9 Divide each side by '-4'. j = 2.25 Simplifying j = 2.25Solution
j = {0, 2.25}
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