SOLUTION: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=? This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=? This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I       Log On


   



Question 149761: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?

Found 3 solutions by ankor@dixie-net.com, kmcruz09, ayman11:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3i(2+5i)= x+6i,then x=?
;
Not quite: 3i * 5i = 15i^2; we know i^2 = -1. so we have:
6i + 15i^2 = x + 6i
:
6i + 15(-1) = x + 6i
which is:
6i - 15 = x + 6i
:
6i - 6i - 15 = x
:
x = -15
:
Actually much simpler than you made it to be:

Answer by kmcruz09(38) About Me  (Show Source):
You can put this solution on YOUR website!
I didn't get the way you tried to solve the problem. But anyway, here's how the solution goes.
3i%282%2B5i%29=+x%2B6i
Distribute 3i
3i%2A2+%2B+5i%2A3i+=+x+%2B+6i
6i+%2B+%28-15%29+=+x+%2B+6i
Take note that 5i+%2A+3i+=+-15
6i+-+15+=+x+%2B+6i
x+=+-15
That's it.

Answer by ayman11(2) About Me  (Show Source):
You can put this solution on YOUR website!
3i(2+5i) = x + 6i
3i .2 + 3i . 5i = x + 6i
6i + 15 (i)^2 = x + 6 i
6 i - 15 = x + 6i by adding ( - 6 i ) to both sides
- 6 i -6i
-15 = x