Final answer:
To solve the expression 12+(-4)-2/5j-4/5j+5, follow the order of operations (PEMDAS). Simplify any expressions within parentheses, then perform any multiplication or division from left to right, and finally perform any addition or subtraction from left to right. The final expression is 13 - 1.2j.
Step-by-step explanation:
To solve the expression 12+(-4)-2/5j-4/5j+5, we need to follow the order of operations, which is also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Start by simplifying any expressions within parentheses. In this case, there are no parentheses.
Step 2: Next, perform any exponent calculations. Again, there are no exponents in this expression.
Step 3: Move on to any multiplication or division from left to right. In this case, we have -2/5j and -4/5j. We can combine these by finding the common denominator of 5. When we have the same denominator, we can simply add or subtract the numerators. So, -2/5j - 4/5j = (-2 - 4)/5j = -6/5j.
Step 4: Lastly, perform any addition or subtraction from left to right. We have 12 + (-4) + (-6/5j) + 5. We can combine the numbers and variables separately. The numbers are 12 + (-4) + 5, which equals 13. And the variable is -6/5j.
So, the final expression is 13 - (6/5)j, or you can also write it as 13 - 1.2j.