Algebra Examples

$g h - g t + g = t$

Step 1

Factor $g$ out of $g h - g t + g$ .

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Step 1.1

Factor $g$ out of $g h$ .

$g (h) - g t + g = t$

Step 1.2

Factor $g$ out of $- g t$ .

$g (h) + g (- 1 t) + g = t$

Step 1.3

Raise $g$ to the power of $1$ .

$g (h) + g (- 1 t) + g = t$

Step 1.4

Factor $g$ out of $g^{1}$ .

$g (h) + g (- 1 t) + g \cdot 1 = t$

Step 1.5

Factor $g$ out of $g (h) + g (- 1 t)$ .

$g (h - 1 t) + g \cdot 1 = t$

Step 1.6

Factor $g$ out of $g (h - 1 t) + g \cdot 1$ .

$g (h - 1 t + 1) = t$

Step 2

Rewrite $- 1 t$ as $- t$ .

$g (h - t + 1) = t$

Step 3

Divide each term in $g (h - t + 1) = t$ by $h - t + 1$ and simplify.

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Step 3.1

Divide each term in $g (h - t + 1) = t$ by $h - t + 1$ .

$\frac{g (h - t + 1)}{h - t + 1} = \frac{t}{h - t + 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $h - t + 1$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{g (h - t + 1)}{h - t + 1} = \frac{t}{h - t + 1}$

Step 3.2.1.2

Divide $g$ by $1$ .

$g = \frac{t}{h - t + 1}$