(4i+1j)+(-1i+4j)=

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Solution for (4i+1j)+(-1i+4j)= equation: 


Simplifying
(4i + 1j) + (-1i + 4j) = 0

Remove parenthesis around (4i + 1j)
4i + 1j + (-1i + 4j) = 0

Remove parenthesis around (-1i + 4j)
4i + 1j + -1i + 4j = 0

Reorder the terms:
4i + -1i + 1j + 4j = 0

Combine like terms: 4i + -1i = 3i
3i + 1j + 4j = 0

Combine like terms: 1j + 4j = 5j
3i + 5j = 0

Solving
3i + 5j = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-5j' to each side of the equation.
3i + 5j + -5j = 0 + -5j

Combine like terms: 5j + -5j = 0
3i + 0 = 0 + -5j
3i = 0 + -5j
Remove the zero:
3i = -5j

Divide each side by '3'.
i = -1.666666667j

Simplifying
i = -1.666666667j

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