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Simplifying b2 + 4bj + -32j2 = 0 Reorder the terms: 4bj + b2 + -32j2 = 0 Solving 4bj + b2 + -32j2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -4j)(b + 8j) = 0Subproblem 1
Set the factor '(b + -4j)' equal to zero and attempt to solve: Simplifying b + -4j = 0 Solving b + -4j = 0 Move all terms containing b to the left, all other terms to the right. Add '4j' to each side of the equation. b + -4j + 4j = 0 + 4j Combine like terms: -4j + 4j = 0 b + 0 = 0 + 4j b = 0 + 4j Remove the zero: b = 4j Simplifying b = 4jSubproblem 2
Set the factor '(b + 8j)' equal to zero and attempt to solve: Simplifying b + 8j = 0 Solving b + 8j = 0 Move all terms containing b to the left, all other terms to the right. Add '-8j' to each side of the equation. b + 8j + -8j = 0 + -8j Combine like terms: 8j + -8j = 0 b + 0 = 0 + -8j b = 0 + -8j Remove the zero: b = -8j Simplifying b = -8jSolution
b = {4j, -8j}
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