3(a-bi)+a+bi=12+8i

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Solution for 3(a-bi)+a+bi=12+8i equation:


Simplifying
3(a + -1bi) + a + bi = 12 + 8i
(a * 3 + -1bi * 3) + a + bi = 12 + 8i
(3a + -3bi) + a + bi = 12 + 8i

Reorder the terms:
3a + a + -3bi + bi = 12 + 8i

Combine like terms: 3a + a = 4a
4a + -3bi + bi = 12 + 8i

Combine like terms: -3bi + bi = -2bi
4a + -2bi = 12 + 8i

Solving
4a + -2bi = 12 + 8i

Solving for variable 'a'.

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

Add '2bi' to each side of the equation.
4a + -2bi + 2bi = 12 + 2bi + 8i

Combine like terms: -2bi + 2bi = 0
4a + 0 = 12 + 2bi + 8i
4a = 12 + 2bi + 8i

Divide each side by '4'.
a = 3 + 0.5bi + 2i

Simplifying
a = 3 + 0.5bi + 2i

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