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Popular >

(3x+6)/(x(x-4))<= 0

Solution

\frac{3 x + 6}{x ( x - 4 )} \leq 0

Solution

x \leq - 2 or 0 < x < 4

+1

Interval Notation

(- \infty, - 2] \cup (0, 4)

Solution steps

\frac{3 x + 6}{x ( x - 4 )} \leq 0

Factor

\frac{3 x + 6}{x ( x - 4 )} : \frac{3 ( x + 2 )}{x ( x - 4 )}

\frac{3 ( x + 2 )}{x ( x - 4 )} \leq 0

Divide both sides by

3

\frac{\frac{3 ( x + 2 )}{x ( x - 4 )}}{3} \leq \frac{0}{3}

Simplify

\frac{x + 2}{x ( x - 4 )} \leq 0

Identify the intervals

x \leq - 2 or 0 < x < 4

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simplify (-12x^{-9}y^{10})/(4x^{-12)y^7}simplify

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x^{2} + 5 x - 4 = 0

Frequently Asked Questions (FAQ)

What is (3x+6)/(x(x-4))<= 0 ?
The solution to (3x+6)/(x(x-4))<= 0 is x<=-2\lor 0<x<4