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Simplifying 100j2 + 40j + 4 = 0 Reorder the terms: 4 + 40j + 100j2 = 0 Solving 4 + 40j + 100j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 10j + 25j2) = 0 Factor a trinomial. 4((1 + 5j)(1 + 5j)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + 5j)' equal to zero and attempt to solve: Simplifying 1 + 5j = 0 Solving 1 + 5j = 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 + 5j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5j = 0 + -1 5j = 0 + -1 Combine like terms: 0 + -1 = -1 5j = -1 Divide each side by '5'. j = -0.2 Simplifying j = -0.2Subproblem 2
Set the factor '(1 + 5j)' equal to zero and attempt to solve: Simplifying 1 + 5j = 0 Solving 1 + 5j = 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 + 5j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5j = 0 + -1 5j = 0 + -1 Combine like terms: 0 + -1 = -1 5j = -1 Divide each side by '5'. j = -0.2 Simplifying j = -0.2Solution
j = {-0.2, -0.2}
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