Basic Math Examples

$t = \frac{3 h - 15 t}{g}$

Step 1

Multiply both sides by $g$ .

$t g = \frac{3 h - 15 t}{g} g$

Step 2

Simplify the right side.

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Step 2.1

Cancel the common factor of $g$ .

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Step 2.1.1

Cancel the common factor.

$t g = \frac{3 h - 15 t}{g} g$

Step 2.1.2

Rewrite the expression.

$t g = 3 h - 15 t$

Step 3

Solve for $t$ .

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Step 3.1

Add $15 t$ to both sides of the equation.

$t g + 15 t = 3 h$

Step 3.2

Factor $t$ out of $t g + 15 t$ .

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Step 3.2.1

Factor $t$ out of $t g$ .

$t (g) + 15 t = 3 h$

Step 3.2.2

Factor $t$ out of $15 t$ .

$t (g) + t \cdot 15 = 3 h$

Step 3.2.3

Factor $t$ out of $t (g) + t \cdot 15$ .

$t (g + 15) = 3 h$

Step 3.3

Divide each term in $t (g + 15) = 3 h$ by $g + 15$ and simplify.

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Step 3.3.1

Divide each term in $t (g + 15) = 3 h$ by $g + 15$ .

$\frac{t (g + 15)}{g + 15} = \frac{3 h}{g + 15}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $g + 15$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{t (g + 15)}{g + 15} = \frac{3 h}{g + 15}$

Step 3.3.2.1.2

Divide $t$ by $1$ .

$t = \frac{3 h}{g + 15}$