3a+(4b+2)I=9-6I

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Solution for 3a+(4b+2)I=9-6I equation:


Simplifying
3a + (4b + 2) * I = 9 + -6I

Reorder the terms:
3a + (2 + 4b) * I = 9 + -6I

Reorder the terms for easier multiplication:
3a + I(2 + 4b) = 9 + -6I
3a + (2 * I + 4b * I) = 9 + -6I
3a + (2I + 4bI) = 9 + -6I

Reorder the terms:
2I + 3a + 4bI = 9 + -6I

Solving
2I + 3a + 4bI = 9 + -6I

Solving for variable 'I'.

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

Add '6I' to each side of the equation.
2I + 3a + 6I + 4bI = 9 + -6I + 6I

Reorder the terms:
2I + 6I + 3a + 4bI = 9 + -6I + 6I

Combine like terms: 2I + 6I = 8I
8I + 3a + 4bI = 9 + -6I + 6I

Combine like terms: -6I + 6I = 0
8I + 3a + 4bI = 9 + 0
8I + 3a + 4bI = 9

Add '-3a' to each side of the equation.
8I + 3a + -3a + 4bI = 9 + -3a

Combine like terms: 3a + -3a = 0
8I + 0 + 4bI = 9 + -3a
8I + 4bI = 9 + -3a

Reorder the terms:
-9 + 8I + 3a + 4bI = 9 + -3a + -9 + 3a

Reorder the terms:
-9 + 8I + 3a + 4bI = 9 + -9 + -3a + 3a

Combine like terms: 9 + -9 = 0
-9 + 8I + 3a + 4bI = 0 + -3a + 3a
-9 + 8I + 3a + 4bI = -3a + 3a

Combine like terms: -3a + 3a = 0
-9 + 8I + 3a + 4bI = 0

The solution to this equation could not be determined.

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