3a-i(a-2b)=sqrt(10)

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Solution for 3a-i(a-2b)=sqrt(10) equation: 


Simplifying
3a + -1i(a + -2b) = sqrt(10)
3a + (a * -1i + -2b * -1i) = sqrt(10)
3a + (-1ai + 2bi) = sqrt(10)

Reorder the terms for easier multiplication:
3a + -1ai + 2bi = 10qrst

Solving
3a + -1ai + 2bi = 10qrst

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.
3a + -1ai + 2bi + -2bi = -2bi + 10qrst

Combine like terms: 2bi + -2bi = 0
3a + -1ai + 0 = -2bi + 10qrst
3a + -1ai = -2bi + 10qrst

Reorder the terms:
3a + -1ai + 2bi + -10qrst = -2bi + 2bi + 10qrst + -10qrst

Combine like terms: -2bi + 2bi = 0
3a + -1ai + 2bi + -10qrst = 0 + 10qrst + -10qrst
3a + -1ai + 2bi + -10qrst = 10qrst + -10qrst

Combine like terms: 10qrst + -10qrst = 0
3a + -1ai + 2bi + -10qrst = 0

The solution to this equation could not be determined.

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