Algebra Examples

$t = \frac{A}{4 b - D}$

Step 1

Rewrite the equation as $\frac{A}{4 b - D} = t$ .

$\frac{A}{4 b - D} = t$

Step 2

Multiply both sides by $4 b - D$ .

$\frac{A}{4 b - D} (4 b - D) = t (4 b - D)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $4 b - D$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{A}{4 b - D} (4 b - D) = t (4 b - D)$

Step 3.1.1.2

Rewrite the expression.

$A = t (4 b - D)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $t (4 b - D)$ .

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Step 3.2.1.1

Apply the distributive property.

$A = t (4 b) + t (- D)$

Step 3.2.1.2

Simplify the expression.

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Step 3.2.1.2.1

Rewrite using the commutative property of multiplication.

$A = 4 t b + t (- D)$

Step 3.2.1.2.2

Rewrite using the commutative property of multiplication.

$A = 4 t b - t D$

Step 3.2.1.2.3

Move $t$ .

$A = 4 b t - t D$

Step 3.2.1.2.4

Move $t$ .

$A = 4 b t - D t$

Step 3.2.1.2.5

Reorder $4 b t$ and $- D t$ .

$A = - D t + 4 b t$