15-3(a+bi)=i(5+2(a+bi))

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Solution for 15-3(a+bi)=i(5+2(a+bi)) equation: 


Simplifying
15 + -3(a + bi) = i(5 + 2(a + bi))
15 + (a * -3 + bi * -3) = i(5 + 2(a + bi))
15 + (-3a + -3bi) = i(5 + 2(a + bi))
15 + -3a + -3bi = i(5 + (a * 2 + bi * 2))
15 + -3a + -3bi = i(5 + (2a + 2bi))
15 + -3a + -3bi = (5 * i + 2a * i + 2bi * i)

Reorder the terms:
15 + -3a + -3bi = (2ai + 2bi2 + 5i)
15 + -3a + -3bi = (2ai + 2bi2 + 5i)

Solving
15 + -3a + -3bi = 2ai + 2bi2 + 5i

Solving for variable 'a'.

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

Add '-2ai' to each side of the equation.
15 + -3a + -2ai + -3bi = 2ai + 2bi2 + -2ai + 5i

Reorder the terms:
15 + -3a + -2ai + -3bi = 2ai + -2ai + 2bi2 + 5i

Combine like terms: 2ai + -2ai = 0
15 + -3a + -2ai + -3bi = 0 + 2bi2 + 5i
15 + -3a + -2ai + -3bi = 2bi2 + 5i

Add '-15' to each side of the equation.
15 + -3a + -2ai + -15 + -3bi = 2bi2 + -15 + 5i

Reorder the terms:
15 + -15 + -3a + -2ai + -3bi = 2bi2 + -15 + 5i

Combine like terms: 15 + -15 = 0
0 + -3a + -2ai + -3bi = 2bi2 + -15 + 5i
-3a + -2ai + -3bi = 2bi2 + -15 + 5i

Reorder the terms:
-3a + -2ai + -3bi = -15 + 2bi2 + 5i

Add '3bi' to each side of the equation.
-3a + -2ai + -3bi + 3bi = -15 + 2bi2 + 3bi + 5i

Combine like terms: -3bi + 3bi = 0
-3a + -2ai + 0 = -15 + 2bi2 + 3bi + 5i
-3a + -2ai = -15 + 2bi2 + 3bi + 5i

Reorder the terms:
-3a + -2ai = -15 + 3bi + 2bi2 + 5i

Reorder the terms:
15 + -3a + -2ai + -3bi + -2bi2 + -5i = -15 + 3bi + 2bi2 + 5i + 15 + -3bi + -2bi2 + -5i

Reorder the terms:
15 + -3a + -2ai + -3bi + -2bi2 + -5i = -15 + 15 + 3bi + -3bi + 2bi2 + -2bi2 + 5i + -5i

Combine like terms: -15 + 15 = 0
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 0 + 3bi + -3bi + 2bi2 + -2bi2 + 5i + -5i
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 3bi + -3bi + 2bi2 + -2bi2 + 5i + -5i

Combine like terms: 3bi + -3bi = 0
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 0 + 2bi2 + -2bi2 + 5i + -5i
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 2bi2 + -2bi2 + 5i + -5i

Combine like terms: 2bi2 + -2bi2 = 0
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 0 + 5i + -5i
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 5i + -5i

Combine like terms: 5i + -5i = 0
15 + -3a + -2ai + -3bi + -2bi2 + -5i = 0

The solution to this equation could not be determined.

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