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Simplifying 5j2 + 55j + 90 = 0 Reorder the terms: 90 + 55j + 5j2 = 0 Solving 90 + 55j + 5j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '5'. 5(18 + 11j + j2) = 0 Factor a trinomial. 5((9 + j)(2 + j)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + j)' equal to zero and attempt to solve: Simplifying 9 + j = 0 Solving 9 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + j = 0 + -9 j = 0 + -9 Combine like terms: 0 + -9 = -9 j = -9 Simplifying j = -9Subproblem 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 = {-9, -2}
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