3a(5-21)b=1+2i

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Solution for 3a(5-21)b=1+2i equation:


Simplifying
3a(5 + -21) * b = 1 + 2i

Combine like terms: 5 + -21 = -16
3a(-16) * b = 1 + 2i

Reorder the terms for easier multiplication:
3 * -16a * b = 1 + 2i

Multiply 3 * -16
-48a * b = 1 + 2i

Multiply a * b
-48ab = 1 + 2i

Solving
-48ab = 1 + 2i

Solving for variable 'a'.

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

Divide each side by '-48b'.
a = -0.02083333333b-1 + -0.04166666667b-1i

Simplifying
a = -0.02083333333b-1 + -0.04166666667b-1i

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