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Simplifying 2j2 + -5j + -7 = 0 Reorder the terms: -7 + -5j + 2j2 = 0 Solving -7 + -5j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (-1 + -1j)(7 + -2j) = 0Subproblem 1
Set the factor '(-1 + -1j)' equal to zero and attempt to solve: Simplifying -1 + -1j = 0 Solving -1 + -1j = 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 + -1j = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1j = 0 + 1 -1j = 0 + 1 Combine like terms: 0 + 1 = 1 -1j = 1 Divide each side by '-1'. j = -1 Simplifying j = -1Subproblem 2
Set the factor '(7 + -2j)' equal to zero and attempt to solve: Simplifying 7 + -2j = 0 Solving 7 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2j = 0 + -7 -2j = 0 + -7 Combine like terms: 0 + -7 = -7 -2j = -7 Divide each side by '-2'. j = 3.5 Simplifying j = 3.5Solution
j = {-1, 3.5}
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