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Popular >

(x^2+5x)/(x-3)>0

Solution

\frac{x ^{2} + 5 x}{x - 3} > 0

Solution

- 5 < x < 0 or x > 3

+1

Interval Notation

(- 5, 0) \cup (3, \infty)

Solution steps

\frac{x ^{2} + 5 x}{x - 3} > 0

Factor

\frac{x ^{2} + 5 x}{x - 3} : \frac{x ( x + 5 )}{x - 3}

\frac{x ( x + 5 )}{x - 3} > 0

Identify the intervals

- 5 < x < 0 or x > 3

Popular Examples

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\frac{x + 10}{15} - \frac{1}{5} = \frac{x + 1}{6} - \frac{1}{10}

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(3-2x)/((x+2)(3-x))>= 0

\frac{3 - 2 x}{( x + 2 ) ( 3 - x )} \geq 0

2 - 5 x^{2} + 3 x \geq 0

Frequently Asked Questions (FAQ)

What is (x^2+5x)/(x-3)>0 ?
The solution to (x^2+5x)/(x-3)>0 is -5<x<0\lor x>3