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Simplifying 12j = 16j(j + -8) Reorder the terms: 12j = 16j(-8 + j) 12j = (-8 * 16j + j * 16j) 12j = (-128j + 16j2) Solving 12j = -128j + 16j2 Solving for variable 'j'. Combine like terms: 12j + 128j = 140j 140j + -16j2 = -128j + 16j2 + 128j + -16j2 Reorder the terms: 140j + -16j2 = -128j + 128j + 16j2 + -16j2 Combine like terms: -128j + 128j = 0 140j + -16j2 = 0 + 16j2 + -16j2 140j + -16j2 = 16j2 + -16j2 Combine like terms: 16j2 + -16j2 = 0 140j + -16j2 = 0 Factor out the Greatest Common Factor (GCF), '4j'. 4j(35 + -4j) = 0 Ignore the factor 4.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 '(35 + -4j)' equal to zero and attempt to solve: Simplifying 35 + -4j = 0 Solving 35 + -4j = 0 Move all terms containing j to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -4j = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -4j = 0 + -35 -4j = 0 + -35 Combine like terms: 0 + -35 = -35 -4j = -35 Divide each side by '-4'. j = 8.75 Simplifying j = 8.75Solution
j = {0, 8.75}
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