Solve for t 2tl-4l^2=4a

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

Move $4 a$ to the left side of the equation by subtracting it from both sides.

$2 t l - 4 l^{2} - 4 a = 0$

Factor the left side of the equation.

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Factor $2$ out of $2 t l - 4 l^{2} - 4 a$ .

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Factor $2$ out of $2 t l$ .

$2 (t l) - 4 l^{2} - 4 a$

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

$2 (t l) + 2 (- 2 l^{2}) - 4 a$

Factor $2$ out of $- 4 a$ .

$2 (t l) + 2 (- 2 l^{2}) + 2 (- 2 a)$

Factor $2$ out of $2 (t l) + 2 (- 2 l^{2})$ .

$2 (t l - 2 l^{2}) + 2 (- 2 a)$

Factor $2$ out of $2 (t l - 2 l^{2}) + 2 (- 2 a)$ .

$2 (t l - 2 l^{2} - 2 a)$

Replace the left side with the factored expression.

$2 (t l - 2 l^{2} - 2 a) = 0$

Divide each term by $2$ and simplify.

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Divide each term in $2 (t l - 2 l^{2} - 2 a) = 0$ by $2$ .

$\frac{2 (t l - 2 l^{2} - 2 a)}{2} = \frac{0}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 (t l - 2 l^{2} - 2 a)}{2} = \frac{0}{2}$

Divide $t l - 2 l^{2} - 2 a$ by $1$ .

$t l - 2 l^{2} - 2 a = \frac{0}{2}$

Divide $0$ by $2$ .

$t l - 2 l^{2} - 2 a = 0$

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

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

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

Add $2 a$ to both sides of the equation.

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

Divide each term by $l$ and simplify.

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

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

Cancel the common factor of $l$ .

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Cancel the common factor.

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

Divide $t$ by $1$ .

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

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 l$ by $1$ .

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

Solve for t 2tl-4l^2=4a

Solving MATH problems