Basic Math Examples

$8 A D - C^{6} D = 2 B A$

Step 1

Subtract $2 B A$ from both sides of the equation.

$8 A D - C^{6} D - 2 B A = 0$

Step 2

Add $C^{6} D$ to both sides of the equation.

$8 A D - 2 B A = C^{6} D$

Step 3

Factor $2 A$ out of $8 A D - 2 B A$ .

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Step 3.1

Factor $2 A$ out of $8 A D$ .

$2 A (4 D) - 2 B A = C^{6} D$

Step 3.2

Factor $2 A$ out of $- 2 B A$ .

$2 A (4 D) + 2 A (- B) = C^{6} D$

Step 3.3

Factor $2 A$ out of $2 A (4 D) + 2 A (- B)$ .

$2 A (4 D - B) = C^{6} D$

Step 4

Divide each term in $2 A (4 D - B) = C^{6} D$ by $2 (4 D - B)$ and simplify.

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Step 4.1

Divide each term in $2 A (4 D - B) = C^{6} D$ by $2 (4 D - B)$ .

$\frac{2 A (4 D - B)}{2 (4 D - B)} = \frac{C^{6} D}{2 (4 D - B)}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 A (4 D - B)}{2 (4 D - B)} = \frac{C^{6} D}{2 (4 D - B)}$

Step 4.2.1.2

Rewrite the expression.

$\frac{A (4 D - B)}{4 D - B} = \frac{C^{6} D}{2 (4 D - B)}$

Step 4.2.2

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

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Step 4.2.2.1

Cancel the common factor.

$\frac{A (4 D - B)}{4 D - B} = \frac{C^{6} D}{2 (4 D - B)}$

Step 4.2.2.2

Divide $A$ by $1$ .

$A = \frac{C^{6} D}{2 (4 D - B)}$