5i + 4 = 14 + 4i
Reorder the terms:
4 + 5i = 14 + 4i
Solving
4 + 5i = 14 + 4i
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-4i' to each side of the equation.
4 + 5i + -4i = 14 + 4i + -4i
Combine like terms: 5i + -4i = 1i
4 + 1i = 14 + 4i + -4i
Combine like terms: 4i + -4i = 0
4 + 1i = 14 + 0
4 + 1i = 14
Add '-4' to each side of the equation.
4 + -4 + 1i = 14 + -4
Combine like terms: 4 + -4 = 0
0 + 1i = 14 + -4
1i = 14 + -4
Combine like terms: 14 + -4 = 10
1i = 10
Divide each side by '1'.
i = 10
Simplifying
i = 10