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Simplifying 8j(9j + 2) + j(4j + 7) = 0 Reorder the terms: 8j(2 + 9j) + j(4j + 7) = 0 (2 * 8j + 9j * 8j) + j(4j + 7) = 0 (16j + 72j2) + j(4j + 7) = 0 Reorder the terms: 16j + 72j2 + j(7 + 4j) = 0 16j + 72j2 + (7 * j + 4j * j) = 0 16j + 72j2 + (7j + 4j2) = 0 Reorder the terms: 16j + 7j + 72j2 + 4j2 = 0 Combine like terms: 16j + 7j = 23j 23j + 72j2 + 4j2 = 0 Combine like terms: 72j2 + 4j2 = 76j2 23j + 76j2 = 0 Solving 23j + 76j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), 'j'. j(23 + 76j) = 0Subproblem 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 '(23 + 76j)' equal to zero and attempt to solve: Simplifying 23 + 76j = 0 Solving 23 + 76j = 0 Move all terms containing j to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 76j = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 76j = 0 + -23 76j = 0 + -23 Combine like terms: 0 + -23 = -23 76j = -23 Divide each side by '76'. j = -0.3026315789 Simplifying j = -0.3026315789Solution
j = {0, -0.3026315789}
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