Algebra Examples

$\frac{5 x - 8}{2 x^{2} + 2 x - 7}$ , $x = 3$

Step 1

Replace the variable $x$ with $3$ in the expression.

$\frac{5 (3) - 8}{2 {(3)}^{2} + 2 (3) - 7}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $5$ by $3$ .

$\frac{15 - 8}{2 \cdot 3^{2} + 2 (3) - 7}$

Step 2.2

Subtract $8$ from $15$ .

$\frac{7}{2 \cdot 3^{2} + 2 (3) - 7}$

$\frac{7}{2 \cdot 3^{2} + 2 (3) - 7}$

Step 3

Simplify the denominator.

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Step 3.1

Raise $3$ to the power of $2$ .

$\frac{7}{2 \cdot 9 + 2 (3) - 7}$

Step 3.2

Multiply $2$ by $9$ .

$\frac{7}{18 + 2 (3) - 7}$

Step 3.3

Multiply $2$ by $3$ .

$\frac{7}{18 + 6 - 7}$

Step 3.4

Add $18$ and $6$ .

$\frac{7}{24 - 7}$

Step 3.5

Subtract $7$ from $24$ .

$\frac{7}{17}$

$\frac{7}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{17}$

Decimal Form:

$0.41176470 \dots$

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