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Simplifying 4b2 + 28bi + 49i2 = 0 Reorder the terms: 28bi + 4b2 + 49i2 = 0 Solving 28bi + 4b2 + 49i2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + 7i)(2b + 7i) = 0Subproblem 1
Set the factor '(2b + 7i)' equal to zero and attempt to solve: Simplifying 2b + 7i = 0 Solving 2b + 7i = 0 Move all terms containing b to the left, all other terms to the right. Add '-7i' to each side of the equation. 2b + 7i + -7i = 0 + -7i Combine like terms: 7i + -7i = 0 2b + 0 = 0 + -7i 2b = 0 + -7i Remove the zero: 2b = -7i Divide each side by '2'. b = -3.5i Simplifying b = -3.5iSubproblem 2
Set the factor '(2b + 7i)' equal to zero and attempt to solve: Simplifying 2b + 7i = 0 Solving 2b + 7i = 0 Move all terms containing b to the left, all other terms to the right. Add '-7i' to each side of the equation. 2b + 7i + -7i = 0 + -7i Combine like terms: 7i + -7i = 0 2b + 0 = 0 + -7i 2b = 0 + -7i Remove the zero: 2b = -7i Divide each side by '2'. b = -3.5i Simplifying b = -3.5iSolution
b = {-3.5i, -3.5i}
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