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Simplifying 7j(j + 2) + 3j(j + 2) = 0 Reorder the terms: 7j(2 + j) + 3j(j + 2) = 0 (2 * 7j + j * 7j) + 3j(j + 2) = 0 (14j + 7j2) + 3j(j + 2) = 0 Reorder the terms: 14j + 7j2 + 3j(2 + j) = 0 14j + 7j2 + (2 * 3j + j * 3j) = 0 14j + 7j2 + (6j + 3j2) = 0 Reorder the terms: 14j + 6j + 7j2 + 3j2 = 0 Combine like terms: 14j + 6j = 20j 20j + 7j2 + 3j2 = 0 Combine like terms: 7j2 + 3j2 = 10j2 20j + 10j2 = 0 Solving 20j + 10j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '10j'. 10j(2 + j) = 0 Ignore the factor 10.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 '(2 + j)' equal to zero and attempt to solve: Simplifying 2 + j = 0 Solving 2 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + j = 0 + -2 j = 0 + -2 Combine like terms: 0 + -2 = -2 j = -2 Simplifying j = -2Solution
j = {0, -2}
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