Question
$$(3+8i)\cdot(3+3i) = 0$$
Answer
$$ \begin{matrix}i_1 = -1 & i_2 = -\dfrac{ 3 }{ 8 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (3+8i)\cdot(3+3i) &= 0&& \text{simplify left side} \\[1 em]9+9i+24i+24i^2 &= 0&& \\[1 em]24i^2+33i+9 &= 0&& \\[1 em] \end{aligned} $$
$ 24x^{2}+33x+9 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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