Basic Math Examples

$2 t l - 4 l^{2} = 4 a$

Step 1

Add $4 l^{2}$ to both sides of the equation.

$2 t l = 4 a + 4 l^{2}$

Step 2

Divide each term in $2 t l = 4 a + 4 l^{2}$ by $2 l$ and simplify.

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Step 2.1

Divide each term in $2 t l = 4 a + 4 l^{2}$ by $2 l$ .

$\frac{2 t l}{2 l} = \frac{4 a}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 t l}{2 l} = \frac{4 a}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.2.1.2

Rewrite the expression.

$\frac{t l}{l} = \frac{4 a}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.2.2

Cancel the common factor of $l$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{t l}{l} = \frac{4 a}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.2.2.2

Divide $t$ by $1$ .

$t = \frac{4 a}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $4$ and $2$ .

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Step 2.3.1.1.1

Factor $2$ out of $4 a$ .

$t = \frac{2 (2 a)}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $2$ out of $2 l$ .

$t = \frac{2 (2 a)}{2 (l)} + \frac{4 l^{2}}{2 l}$

Step 2.3.1.1.2.2

Cancel the common factor.

$t = \frac{2 (2 a)}{2 l} + \frac{4 l^{2}}{2 l}$

Step 2.3.1.1.2.3

Rewrite the expression.

$t = \frac{2 a}{l} + \frac{4 l^{2}}{2 l}$

Step 2.3.1.2

Cancel the common factor of $4$ and $2$ .

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Step 2.3.1.2.1

Factor $2$ out of $4 l^{2}$ .

$t = \frac{2 a}{l} + \frac{2 (2 l^{2})}{2 l}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $2$ out of $2 l$ .

$t = \frac{2 a}{l} + \frac{2 (2 l^{2})}{2 (l)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$t = \frac{2 a}{l} + \frac{2 (2 l^{2})}{2 l}$

Step 2.3.1.2.2.3

Rewrite the expression.

$t = \frac{2 a}{l} + \frac{2 l^{2}}{l}$

Step 2.3.1.3

Cancel the common factor of $l^{2}$ and $l$ .

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Step 2.3.1.3.1

Factor $l$ out of $2 l^{2}$ .

$t = \frac{2 a}{l} + \frac{l (2 l)}{l}$

Step 2.3.1.3.2

Cancel the common factors.

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Step 2.3.1.3.2.1

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

$t = \frac{2 a}{l} + \frac{l (2 l)}{l^{1}}$

Step 2.3.1.3.2.2

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

$t = \frac{2 a}{l} + \frac{l (2 l)}{l \cdot 1}$

Step 2.3.1.3.2.3

Cancel the common factor.

$t = \frac{2 a}{l} + \frac{l (2 l)}{l \cdot 1}$

Step 2.3.1.3.2.4

Rewrite the expression.

$t = \frac{2 a}{l} + \frac{2 l}{1}$

Step 2.3.1.3.2.5

Divide $2 l$ by $1$ .

$t = \frac{2 a}{l} + 2 l$