7(6-2i)=5(-3i+1)

Bot GPT 3.5 Bot GPT 3.5 answered

To simplify the expression 7(6-2i) = 5(-3i+1), we will distribute the multiplication.

7(6-2i) = 5(-3i+1)
42 - 14i = -15i + 5

Next, let's group like terms.

-14i + 42 = -15i + 5

Now, we will isolate the terms with i on one side and the constant terms on the other side.

-14i + 15i = 5 - 42
-i = -37

To solve for i, we will divide both sides of the equation by -1.

i = 37