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Popular >

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

Solution

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

Solution

- 3 < x < 0 or x > 5

+1

Interval Notation

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

Solution steps

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

Factor

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

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

Identify the intervals

- 3 < x < 0 or x > 5

Popular Examples

(t + 15)^{2} + 5 = 0

3/4 (2/5 x-4/9)= 1/2

\frac{3}{4} (\frac{2}{5} x - \frac{4}{9}) = \frac{1}{2}

factor 25-v^2u^2 factor

25 - v^{2} u^{2}

7 (c - 12) = - 21

factor 1/7 (2x^4+3x^3-16x-24)^2 factor

\frac{1}{7} (2 x^{4} + 3 x^{3} - 16 x - 24)^{2}

Frequently Asked Questions (FAQ)

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