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Simplifying 4j(12j) = 12j Remove parenthesis around (12j) 4j * 12j = 12j Reorder the terms for easier multiplication: 4 * 12j * j = 12j Multiply 4 * 12 48j * j = 12j Multiply j * j 48j2 = 12j Solving 48j2 = 12j Solving for variable 'j'. Reorder the terms: -12j + 48j2 = 12j + -12j Combine like terms: 12j + -12j = 0 -12j + 48j2 = 0 Factor out the Greatest Common Factor (GCF), '12j'. 12j(-1 + 4j) = 0 Ignore the factor 12.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 '(-1 + 4j)' equal to zero and attempt to solve: Simplifying -1 + 4j = 0 Solving -1 + 4j = 0 Move all terms containing j to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4j = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4j = 0 + 1 4j = 0 + 1 Combine like terms: 0 + 1 = 1 4j = 1 Divide each side by '4'. j = 0.25 Simplifying j = 0.25Solution
j = {0, 0.25}
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