Finite Math Examples

$(a - 1) + (b - 3) i = 5 + 8 i$

Step 1

Apply the distributive property.

$a - 1 + b i - 3 i = 5 + 8 i$

Step 2

Move all terms not containing $a$ to the right side of the equation.

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Step 2.1

Add $1$ to both sides of the equation.

$a + b i - 3 i = 5 + 8 i + 1$

Step 2.2

Subtract $b i$ from both sides of the equation.

$a - 3 i = 5 + 8 i + 1 - b i$

Step 2.3

Add $3 i$ to both sides of the equation.

$a = 5 + 8 i + 1 - b i + 3 i$

Step 2.4

Add $5$ and $1$ .

$a = 6 + 8 i - b i + 3 i$

Step 2.5

Add $8 i$ and $3 i$ .

$a = 6 - b i + 11 i$