Question
$$(4-6i)\cdot(4+i) = 0$$
Answer
$$ \begin{matrix}i_1 = \dfrac{ 2 }{ 3 } & i_2 = -4 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (4-6i)\cdot(4+i) &= 0&& \text{simplify left side} \\[1 em]16+4i-24i-6i^2 &= 0&& \\[1 em]-6i^2-20i+16 &= 0&& \\[1 em] \end{aligned} $$
$ -6x^{2}-20x+16 = 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.
This page was created using
Equations Solver