Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=35−3i
Alternative Form
x=1.6˙−3i
Evaluate
3ix−5i−9=0
Calculate
3ix−9−5i=0
Move the constant to the right-hand side and change its sign
3ix=0+9+5i
Add the terms
3ix=9+5i
Divide both sides
3i3ix=3i9+5i
Divide the numbers
x=3i9+5i
Solution
More Steps
Evaluate
3i9+5i
Multiply by the Conjugate
3i×i(9+5i)i
Calculate
More Steps
Evaluate
(9+5i)i
Apply the distributive property
9i+5i×i
Multiply the numbers
9i−5
Reorder the terms
−5+9i
3i×i−5+9i
Calculate
More Steps
Evaluate
3i×i
Multiply
3i2
Use i2=−1 to transform the expression
3(−1)
Calculate
−3
−3−5+9i
Use b−a=−ba=−ba to rewrite the fraction
35−9i
Simplify
35−3i
x=35−3i
Alternative Form
x=1.6˙−3i
Show Solution
