Algebra Examples

$\frac{1}{4} (70 x - 30 (x - 2))$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$\frac{1}{4} \cdot (70 x - 30 x - 30 \cdot - 2)$

Step 1.2

Multiply $- 30$ by $- 2$ .

$\frac{1}{4} \cdot (70 x - 30 x + 60)$

$\frac{1}{4} \cdot (70 x - 30 x + 60)$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Subtract $30 x$ from $70 x$ .

$\frac{1}{4} \cdot (40 x + 60)$

Step 2.2

Apply the distributive property.

$\frac{1}{4} (40 x) + \frac{1}{4} \cdot 60$

Step 2.3

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.3.1

Factor $4$ out of $40 x$ .

$\frac{1}{4} (4 (10 x)) + \frac{1}{4} \cdot 60$

Step 2.3.2

Cancel the common factor.

$\frac{1}{4} (4 (10 x)) + \frac{1}{4} \cdot 60$

Step 2.3.3

Rewrite the expression.

$10 x + \frac{1}{4} \cdot 60$

$10 x + \frac{1}{4} \cdot 60$

Step 2.4

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.4.1

Factor $4$ out of $60$ .

$10 x + \frac{1}{4} \cdot (4 (15))$

Step 2.4.2

Cancel the common factor.

$10 x + \frac{1}{4} \cdot (4 \cdot 15)$

Step 2.4.3

Rewrite the expression.

$10 x + 15$

$10 x + 15$

$10 x + 15$

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