Write the quotient in the form $\mathrm{a}+\mathrm{b} i$
\[
\frac{-8+6 i}{4+2 i}
\]
\[
\frac{-8+6 i}{4+2 i}=\square
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answe

Step 1 ：Given the complex division problem \(\frac{-8+6i}{4+2i}\), we need to simplify it to the form \(a+bi\).

Step 2 ：To do this, we multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of a complex number is obtained by changing the sign of its imaginary part. So, the conjugate of the denominator \(4+2i\) is \(4-2i\).

Step 3 ：Multiplying the numerator by the conjugate, we get \((-8 + 6i)(4 - 2i)\).

Step 4 ：Multiplying the denominator by its conjugate, we get \((4 - 2i)(4 + 2i)\).

Step 5 ：Simplifying these expressions, we get the result \(\frac{-8 + 6i}{4 + 2i} = -1 + 2i\).

Step 6 ：So, the quotient in the form \(a+bi\) is \(\boxed{-1+2i}\).