Simplify (-10x^5+12x^2-6x)/(2x^2)

$\frac{- 10 x^{5} + 12 x^{2} - 6 x}{2 x^{2}}$

Step 1

Factor $2 x$ out of $- 10 x^{5} + 12 x^{2} - 6 x$ .

Factor $2 x$ out of $- 10 x^{5}$ .

$\frac{2 x (- 5 x^{4}) + 12 x^{2} - 6 x}{2 x^{2}}$

Factor $2 x$ out of $12 x^{2}$ .

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

Factor $2 x$ out of $- 6 x$ .

$\frac{2 x (- 5 x^{4}) + 2 x (6 x) + 2 x (- 3)}{2 x^{2}}$

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

$\frac{2 x (- 5 x^{4} + 6 x) + 2 x (- 3)}{2 x^{2}}$

Factor $2 x$ out of $2 x (- 5 x^{4} + 6 x) + 2 x (- 3)$ .

$\frac{2 x (- 5 x^{4} + 6 x - 3)}{2 x^{2}}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x (- 5 x^{4} + 6 x - 3)}{2 x^{2}}$

Rewrite the expression.

$\frac{x (- 5 x^{4} + 6 x - 3)}{x^{2}}$

Step 3

Cancel the common factors.

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

$\frac{x (- 5 x^{4} + 6 x - 3)}{x \cdot x}$

Cancel the common factor.

$\frac{x (- 5 x^{4} + 6 x - 3)}{x \cdot x}$

Rewrite the expression.

$\frac{- 5 x^{4} + 6 x - 3}{x}$

Step 4

Factor $- 1$ out of $- 5 x^{4}$ .

$\frac{- (5 x^{4}) + 6 x - 3}{x}$

Step 5

Factor $- 1$ out of $6 x$ .

$\frac{- (5 x^{4}) - (- 6 x) - 3}{x}$

Step 6

Factor $- 1$ out of $- (5 x^{4}) - (- 6 x)$ .

$\frac{- (5 x^{4} - 6 x) - 3}{x}$

Step 7

Rewrite $- 3$ as $- 1 (3)$ .

$\frac{- (5 x^{4} - 6 x) - 1 (3)}{x}$

Step 8

Factor $- 1$ out of $- (5 x^{4} - 6 x) - 1 (3)$ .

$\frac{- (5 x^{4} - 6 x + 3)}{x}$

Step 9

Simplify the expression.

Rewrite $- (5 x^{4} - 6 x + 3)$ as $- 1 (5 x^{4} - 6 x + 3)$ .

$\frac{- 1 (5 x^{4} - 6 x + 3)}{x}$

Move the negative in front of the fraction.

$- \frac{5 x^{4} - 6 x + 3}{x}$

Simplify (-10x^5+12x^2-6x)/(2x^2)

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