Algebra Examples

$0 = \frac{3 (2 x - 1)}{2 x - 3}$

Step 1

Set the numerator equal to zero.

$3 (2 x - 1) = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Divide each term in $3 (2 x - 1) = 0$ by $3$ and simplify.

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Step 2.1.1

Divide each term in $3 (2 x - 1) = 0$ by $3$ .

$\frac{3 (2 x - 1)}{3} = \frac{0}{3}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $3$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{3 (2 x - 1)}{3} = \frac{0}{3}$

Step 2.1.2.1.2

Divide $2 x - 1$ by $1$ .

$2 x - 1 = \frac{0}{3}$

$2 x - 1 = \frac{0}{3}$

$2 x - 1 = \frac{0}{3}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $3$ .

$2 x - 1 = 0$

$2 x - 1 = 0$

$2 x - 1 = 0$

Step 2.2

Add $1$ to both sides of the equation.

$2 x = 1$

Step 2.3

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

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Step 2.3.1

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

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

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

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

Step 2.3.2.1.2

Divide $x$ by $1$ .

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

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$

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