(i-5i)-(3+3i)-(-5+i)=

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Solution for (i-5i)-(3+3i)-(-5+i)= equation:


Simplifying
(i + -5i) + -1(3 + 3i) + -1(-5 + i) = 0

Combine like terms: i + -5i = -4i
(-4i) + -1(3 + 3i) + -1(-5 + i) = 0
(-4i) + -1(3 + 3i) + -1(-5 + i) = 0
(-4i) + (3 * -1 + 3i * -1) + -1(-5 + i) = 0
(-4i) + (-3 + -3i) + -1(-5 + i) = 0
(-4i) + -3 + -3i + (-5 * -1 + i * -1) = 0
(-4i) + -3 + -3i + (5 + -1i) = 0

Reorder the terms:
-3 + 5 + (-4i) + -3i + -1i = 0

Combine like terms: -3 + 5 = 2
2 + (-4i) + -3i + -1i = 0

Combine like terms: (-4i) + -3i = -7i
2 + -7i + -1i = 0

Combine like terms: -7i + -1i = -8i
2 + -8i = 0

Solving
2 + -8i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + -8i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -8i = 0 + -2
-8i = 0 + -2

Combine like terms: 0 + -2 = -2
-8i = -2

Divide each side by '-8'.
i = 0.25

Simplifying
i = 0.25

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