Algebra Examples

$(- 3 x \frac{2}{3}) (15 x \frac{1}{7})$

Step 1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.1

Move $x$ .

$- 3 (x \cdot x) \frac{2}{3} (15 (\frac{1}{7}))$

Step 1.2

Multiply $x$ by $x$ .

$- 3 x^{2} \frac{2}{3} (15 (\frac{1}{7}))$

$- 3 x^{2} \frac{2}{3} (15 (\frac{1}{7}))$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $- 3 x^{2}$ .

$3 (- x^{2}) \frac{2}{3} (15 (\frac{1}{7}))$

Step 2.2

Cancel the common factor.

$3 (- x^{2}) \frac{2}{3} (15 (\frac{1}{7}))$

Step 2.3

Rewrite the expression.

$- x^{2} \cdot 2 (15 (\frac{1}{7}))$

$- x^{2} \cdot 2 (15 (\frac{1}{7}))$

Step 3

Multiply $2$ by $- 1$ .

$- 2 x^{2} (15 (\frac{1}{7}))$

Step 4

Combine $15$ and $\frac{1}{7}$ .

$- 2 x^{2} \frac{15}{7}$

Step 5

Multiply $- 2 x^{2} \frac{15}{7}$ .

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Step 5.1

Combine $- 2$ and $\frac{15}{7}$ .

$x^{2} \frac{- 2 \cdot 15}{7}$

Step 5.2

Multiply $- 2$ by $15$ .

$x^{2} \frac{- 30}{7}$

Step 5.3

Combine $x^{2}$ and $\frac{- 30}{7}$ .

$\frac{x^{2} \cdot - 30}{7}$

$\frac{x^{2} \cdot - 30}{7}$

Step 6

Move $- 30$ to the left of $x^{2}$ .

$\frac{- 30 \cdot x^{2}}{7}$

Step 7

Move the negative in front of the fraction.

$- \frac{30 x^{2}}{7}$

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