Algebra Examples

$x^{2} + \frac{4}{7} x$

Step 1

Combine $\frac{4}{7}$ and $x$ .

$x^{2} + \frac{4 x}{7}$

Step 2

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

Tap for more steps...

Step 2.1

Multiply the numerator by the reciprocal of the denominator.

${(\frac{4}{7} \cdot \frac{1}{2})}^{2}$

Step 2.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1

Factor $2$ out of $4$ .

${(\frac{2 (2)}{7} \cdot \frac{1}{2})}^{2}$

Step 2.2.2

Cancel the common factor.

${(\frac{2 \cdot 2}{7} \cdot \frac{1}{2})}^{2}$

Step 2.2.3

Rewrite the expression.

${(\frac{2}{7})}^{2}$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Apply the product rule to $\frac{2}{7}$ .

$\frac{2^{2}}{7^{2}}$

Step 2.3.2

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

$\frac{4}{7^{2}}$

Step 2.3.3

Raise $7$ to the power of $2$ .

$\frac{4}{49}$

Step 3

Add $\frac{4}{49}$ to get the perfect square trinomial.

$x^{2} + \frac{4}{7} x + \frac{4}{49}$