Finite Math Examples

$a \cdot 52 = 12 + {(52 - 1)}^{9}$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $12$ from both sides of the equation.

$a \cdot 52 - 12 = {(52 - 1)}^{9}$

Step 1.2

Subtract ${(52 - 1)}^{9}$ from both sides of the equation.

$a \cdot 52 - 12 - {(52 - 1)}^{9} = 0$

Step 2

Simplify $a \cdot 52 - 12 - {(52 - 1)}^{9}$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Move $52$ to the left of $a$ .

$52 \cdot a - 12 - {(52 - 1)}^{9} = 0$

Step 2.1.2

Subtract $1$ from $52$ .

$52 a - 12 - 51^{9} = 0$

Step 2.1.3

Raise $51$ to the power of $9$ .

$52 a - 12 - 1 \cdot 2334165173090450 = 0$

Step 2.1.4

Multiply $- 1$ by $2334165173090450$ .

$52 a - 12 - 2334165173090450 = 0$

Step 2.2

Subtract $2334165173090450$ from $- 12$ .

$52 a - 2334165173090462 = 0$

Step 3

Factor $2$ out of $52 a - 2334165173090462$ .

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Step 3.1

Factor $2$ out of $52 a$ .

$2 (26 a) - 2334165173090462 = 0$

Step 3.2

Factor $2$ out of $- 2334165173090462$ .

$2 (26 a) + 2 (- 1167082586545231) = 0$

Step 3.3

Factor $2$ out of $2 (26 a) + 2 (- 1167082586545231)$ .

$2 (26 a - 1167082586545231) = 0$