Algebra Examples

$x \cdot 2 - 10 x + 25$

Step 1

Set $x \cdot 2 - 10 x + 25$ equal to $0$ .

$x \cdot 2 - 10 x + 25 = 0$

Step 2

Simplify the left side.

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Step 2.1

Simplify $x \cdot 2 - 10 x + 25$ .

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Step 2.1.1

Move $2$ to the left of $x$ .

$2 x - 10 x + 25 = 0$

Step 2.1.2

Subtract $10 x$ from $2 x$ .

$- 8 x + 25 = 0$

Step 3

Subtract $25$ from both sides of the equation.

$- 8 x = - 25$

Step 4

Divide each term in $- 8 x = - 25$ by $- 8$ and simplify.

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Step 4.1

Divide each term in $- 8 x = - 25$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 25}{- 8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 25}{- 8}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 25}{- 8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Dividing two negative values results in a positive value.

$x = \frac{25}{8}$