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Simplifying 2j2 + 8j + 8 = 0 Reorder the terms: 8 + 8j + 2j2 = 0 Solving 8 + 8j + 2j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4j + j2) = 0 Factor a trinomial. 2((2 + j)(2 + j)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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