Finite Math Examples

$x \cdot 1 - 2 x \cdot 2 = 1$

Step 1

Simplify $x \cdot 1 - 2 x \cdot 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $x$ by $1$ .

$x - 2 x \cdot 2 = 1$

Step 1.1.2

Multiply $2$ by $- 2$ .

$x - 4 x = 1$

$x - 4 x = 1$

Step 1.2

Subtract $4 x$ from $x$ .

$- 3 x = 1$

$- 3 x = 1$

Step 2

Divide each term in $- 3 x = 1$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 x = 1$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{1}{- 3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{1}{- 3}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{- 3}$

$x = \frac{1}{- 3}$

$x = \frac{1}{- 3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$x = - \frac{1}{3}$

$x = - \frac{1}{3}$

$x = - \frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{3}$

Decimal Form:

$x = - 0.\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$