Algebra Examples

${(2 x - 3)}^{2} = 0$

Step 1

Set the $2 x - 3$ equal to $0$ .

$2 x - 3 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Add $3$ to both sides of the equation.

$2 x = 3$

Step 2.2

Divide each term in $2 x = 3$ by $2$ and simplify.

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Step 2.2.1

Divide each term in $2 x = 3$ by $2$ .

$\frac{2 x}{2} = \frac{3}{2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{3}{2}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{3}{2}$

$x = \frac{3}{2}$

$x = \frac{3}{2}$

$x = \frac{3}{2}$

$x = \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{2}$

Decimal Form:

$x = 1.5$

Mixed Number Form:

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

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