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Simplifying 9j(5j + j) + (3j + 2j) = 0 Combine like terms: 5j + j = 6j 9j(6j) + (3j + 2j) = 0 Remove parenthesis around (6j) 9j * 6j + (3j + 2j) = 0 Reorder the terms for easier multiplication: 9 * 6j * j + (3j + 2j) = 0 Multiply 9 * 6 54j * j + (3j + 2j) = 0 Multiply j * j 54j2 + (3j + 2j) = 0 Combine like terms: 3j + 2j = 5j 54j2 + (5j) = 0 54j2 + (5j) = 0 Reorder the terms: (5j) + 54j2 = 0 Solving (5j) + 54j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), 'j'. j(5 + 54j) = 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 '(5 + 54j)' equal to zero and attempt to solve: Simplifying 5 + 54j = 0 Solving 5 + 54j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 54j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 54j = 0 + -5 54j = 0 + -5 Combine like terms: 0 + -5 = -5 54j = -5 Divide each side by '54'. j = -0.09259259259 Simplifying j = -0.09259259259Solution
j = {0, -0.09259259259}
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