Algebra Examples

$(x + 2) + (x - 1) = 0$

Step 1

Simplify $x + 2 + x - 1$ .

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Step 1.1

Add $x$ and $x$ .

$2 x + 2 - 1 = 0$

Step 1.2

Subtract $1$ from $2$ .

$2 x + 1 = 0$

$2 x + 1 = 0$

Step 2

Subtract $1$ from both sides of the equation.

$2 x = - 1$

Step 3

Divide each term in $2 x = - 1$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = - 1$ by $2$ .

$\frac{2 x}{2} = \frac{- 1}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 1}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 1}{2}$

$x = \frac{- 1}{2}$

$x = \frac{- 1}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{1}{2}$

$x = - \frac{1}{2}$

$x = - \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{2}$

Decimal Form:

$x = - 0.5$

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