Complex Numbers and the Foil Method

I am stuck on solving the problem below, writing the answers in standard form of a complex number, can you also show how it is worked out, thanks in advance.
(-2 + 5i) (i - 4) =

(-2 + 5i) (i - 4)
= -2(i) - 2(-4) + 5i(i) + 5i(-4)  {used foil method}
= -2i + 8 + 5i2- 20i  {multiplied through}
= 5i² - 22i + 8  {combined like terms}
= 5(-1) - 22i + 8  {i²  is -1}
= -5 - 22i + 8  {multiplied 5 by -1}
= 3 - 22i  {combined like terms}

Ask Algebra House
​