(2ai-4b)i=58i

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Solution for (2ai-4b)i=58i equation: 


Simplifying
(2ai + -4b) * i = 58i

Reorder the terms for easier multiplication:
i(2ai + -4b) = 58i
(2ai * i + -4b * i) = 58i
(2ai2 + -4bi) = 58i

Solving
2ai2 + -4bi = 58i

Solving for variable 'a'.

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

Add '4bi' to each side of the equation.
2ai2 + -4bi + 4bi = 4bi + 58i

Combine like terms: -4bi + 4bi = 0
2ai2 + 0 = 4bi + 58i
2ai2 = 4bi + 58i

Divide each side by '2i2'.
a = 2bi-1 + 29i-1

Simplifying
a = 2bi-1 + 29i-1

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