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Simplifying b2 + 2bj + -35j2 = 0 Reorder the terms: 2bj + b2 + -35j2 = 0 Solving 2bj + b2 + -35j2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -5j)(b + 7j) = 0Subproblem 1
Set the factor '(b + -5j)' equal to zero and attempt to solve: Simplifying b + -5j = 0 Solving b + -5j = 0 Move all terms containing b to the left, all other terms to the right. Add '5j' to each side of the equation. b + -5j + 5j = 0 + 5j Combine like terms: -5j + 5j = 0 b + 0 = 0 + 5j b = 0 + 5j Remove the zero: b = 5j Simplifying b = 5jSubproblem 2
Set the factor '(b + 7j)' equal to zero and attempt to solve: Simplifying b + 7j = 0 Solving b + 7j = 0 Move all terms containing b to the left, all other terms to the right. Add '-7j' to each side of the equation. b + 7j + -7j = 0 + -7j Combine like terms: 7j + -7j = 0 b + 0 = 0 + -7j b = 0 + -7j Remove the zero: b = -7j Simplifying b = -7jSolution
b = {5j, -7j}
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