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Simplifying (3j)(4j + 2)(5j2 + -6j + 9) = 0 Remove parenthesis around (3j) 3j(4j + 2)(5j2 + -6j + 9) = 0 Reorder the terms: 3j(2 + 4j)(5j2 + -6j + 9) = 0 Reorder the terms: 3j(2 + 4j)(9 + -6j + 5j2) = 0 Multiply (2 + 4j) * (9 + -6j + 5j2) 3j(2(9 + -6j + 5j2) + 4j * (9 + -6j + 5j2)) = 0 3j((9 * 2 + -6j * 2 + 5j2 * 2) + 4j * (9 + -6j + 5j2)) = 0 3j((18 + -12j + 10j2) + 4j * (9 + -6j + 5j2)) = 0 3j(18 + -12j + 10j2 + (9 * 4j + -6j * 4j + 5j2 * 4j)) = 0 3j(18 + -12j + 10j2 + (36j + -24j2 + 20j3)) = 0 Reorder the terms: 3j(18 + -12j + 36j + 10j2 + -24j2 + 20j3) = 0 Combine like terms: -12j + 36j = 24j 3j(18 + 24j + 10j2 + -24j2 + 20j3) = 0 Combine like terms: 10j2 + -24j2 = -14j2 3j(18 + 24j + -14j2 + 20j3) = 0 (18 * 3j + 24j * 3j + -14j2 * 3j + 20j3 * 3j) = 0 (54j + 72j2 + -42j3 + 60j4) = 0 Solving 54j + 72j2 + -42j3 + 60j4 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '6j'. 6j(9 + 12j + -7j2 + 10j3) = 0 Ignore the factor 6.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 + 12j + -7j2 + 10j3)' equal to zero and attempt to solve: Simplifying 9 + 12j + -7j2 + 10j3 = 0 Solving 9 + 12j + -7j2 + 10j3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
j = {0}
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