Finite Math Examples

$\frac{- 500 x + 1426}{500} = 0$

Step 1

Set the numerator equal to zero.

$- 500 x + 1426 = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Subtract $1426$ from both sides of the equation.

$- 500 x = - 1426$

Step 2.2

Divide each term in $- 500 x = - 1426$ by $- 500$ and simplify.

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Step 2.2.1

Divide each term in $- 500 x = - 1426$ by $- 500$ .

$\frac{- 500 x}{- 500} = \frac{- 1426}{- 500}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 500$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 500 x}{- 500} = \frac{- 1426}{- 500}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 1426}{- 500}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Cancel the common factor of $- 1426$ and $- 500$ .

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Step 2.2.3.1.1

Factor $- 2$ out of $- 1426$ .

$x = \frac{- 2 (713)}{- 500}$

Step 2.2.3.1.2

Cancel the common factors.

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Step 2.2.3.1.2.1

Factor $- 2$ out of $- 500$ .

$x = \frac{- 2 \cdot 713}{- 2 \cdot 250}$

Step 2.2.3.1.2.2

Cancel the common factor.

$x = \frac{- 2 \cdot 713}{- 2 \cdot 250}$

Step 2.2.3.1.2.3

Rewrite the expression.

$x = \frac{713}{250}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{713}{250}$

Decimal Form:

$x = 2.852$

Mixed Number Form:

$x = 2 \frac{213}{250}$