Algebra Examples

$28 x^{3} + 42 x^{2} - 35 x$ by $7 x$

Step 1

Write the problem as a mathematical expression.

$\frac{28 x^{3} + 42 x^{2} - 35 x}{7 x}$

Step 2

Factor $7 x$ out of $28 x^{3} + 42 x^{2} - 35 x$ .

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Step 2.1

Factor $7 x$ out of $28 x^{3}$ .

$\frac{7 x (4 x^{2}) + 42 x^{2} - 35 x}{7 x}$

Step 2.2

Factor $7 x$ out of $42 x^{2}$ .

$\frac{7 x (4 x^{2}) + 7 x (6 x) - 35 x}{7 x}$

Step 2.3

Factor $7 x$ out of $- 35 x$ .

$\frac{7 x (4 x^{2}) + 7 x (6 x) + 7 x (- 5)}{7 x}$

Step 2.4

Factor $7 x$ out of $7 x (4 x^{2}) + 7 x (6 x)$ .

$\frac{7 x (4 x^{2} + 6 x) + 7 x (- 5)}{7 x}$

Step 2.5

Factor $7 x$ out of $7 x (4 x^{2} + 6 x) + 7 x (- 5)$ .

$\frac{7 x (4 x^{2} + 6 x - 5)}{7 x}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 x (4 x^{2} + 6 x - 5)}{7 x}$

Step 3.2

Rewrite the expression.

$\frac{x (4 x^{2} + 6 x - 5)}{x}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{x (4 x^{2} + 6 x - 5)}{x}$

Step 4.2

Divide $4 x^{2} + 6 x - 5$ by $1$ .

$4 x^{2} + 6 x - 5$