Find the Roots (Zeros) f(x)=(5x^2-25x)/x

$f (x) = \frac{5 x^{2} - 25 x}{x}$

Set $\frac{5 x^{2} - 25 x}{x}$ equal to $0$ .

$\frac{5 x^{2} - 25 x}{x} = 0$

Solve for $x$ .

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Factor each term.

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Factor $5 x$ out of $5 x^{2} - 25 x$ .

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

$\frac{5 x (x) - 25 x}{x} = 0$

Factor $5 x$ out of $- 25 x$ .

$\frac{5 x (x) + 5 x (- 5)}{x} = 0$

Factor $5 x$ out of $5 x (x) + 5 x (- 5)$ .

$\frac{5 x (x - 5)}{x} = 0$

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{5 x (x - 5)}{x}$ by cancelling the common factors.

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Cancel the common factor.

$\frac{5 x (x - 5)}{x} = 0$

Rewrite the expression.

$\frac{5 (x - 5)}{1} = 0$

Divide $5 (x - 5)$ by $1$ .

$5 (x - 5) = 0$

Simplify $5 (x - 5)$ .

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Apply the distributive property.

$5 x + 5 \cdot - 5 = 0$

Multiply $5$ by $- 5$ .

$5 x - 25 = 0$

Add $25$ to both sides of the equation.

$5 x = 25$

Divide each term by $5$ and simplify.

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Divide each term in $5 x = 25$ by $5$ .

$\frac{5 x}{5} = \frac{25}{5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5 x}{5} = \frac{25}{5}$

Divide $x$ by $1$ .

$x = \frac{25}{5}$

Divide $25$ by $5$ .

$x = 5$

Find the Roots (Zeros) f(x)=(5x^2-25x)/x

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