Algebra Examples

$a = b c + b a$

Step 1

Rewrite the equation as $b c + b a = a$ .

$b c + b a = a$

Step 2

Factor $b$ out of $b c + b a$ .

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Step 2.1

Factor $b$ out of $b c$ .

$b (c) + b a = a$

Step 2.2

Factor $b$ out of $b a$ .

$b (c) + b (a) = a$

Step 2.3

Factor $b$ out of $b (c) + b (a)$ .

$b (c + a) = a$

Step 3

Divide each term in $b (c + a) = a$ by $c + a$ and simplify.

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Step 3.1

Divide each term in $b (c + a) = a$ by $c + a$ .

$\frac{b (c + a)}{c + a} = \frac{a}{c + a}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $c + a$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{b (c + a)}{c + a} = \frac{a}{c + a}$

Step 3.2.1.2

Divide $b$ by $1$ .

$b = \frac{a}{c + a}$