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Simplifying 25j2 + 100j + 100 = 0 Reorder the terms: 100 + 100j + 25j2 = 0 Solving 100 + 100j + 25j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '25'. 25(4 + 4j + j2) = 0 Factor a trinomial. 25((2 + j)(2 + j)) = 0 Ignore the factor 25.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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