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Popular >

80x-36>(80)/x

Solution

80 x - 36 > \frac{80}{x}

Solution

- \frac{4}{5} < x < 0 or x > \frac{5}{4}

+2

Interval Notation

(- \frac{4}{5}, 0) \cup (\frac{5}{4}, \infty)

Decimal Notation

- 0.8 < x < 0 or x > 1.25

Solution steps

80 x - 36 > \frac{80}{x}

Rewrite in standard form

\frac{80 x ^{2} - 36 x - 80}{x} > 0

Factor

\frac{80 x ^{2} - 36 x - 80}{x} : \frac{4 ( 5 x + 4 ) ( 4 x - 5 )}{x}

\frac{4 ( 5 x + 4 ) ( 4 x - 5 )}{x} > 0

Divide both sides by

4

\frac{\frac{4 ( 5 x + 4 ) ( 4 x - 5 )}{x}}{4} > \frac{0}{4}

Simplify

\frac{( 5 x + 4 ) ( 4 x - 5 )}{x} > 0

Identify the intervals

- \frac{4}{5} < x < 0 or x > \frac{5}{4}

Popular Examples

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(- 3 x^{4} y^{4})^{2}

x (x - 2) (x + 6) > 0

(x-7)^2+x^2=(x+7)^2

(x - 7)^{2} + x^{2} = (x + 7)^{2}

3(3x-4)=2(5x-8)

3 (3 x - 4) = 2 (5 x - 8)

simplify ((3pi}{10}+4)-3(\frac{2pi)/5)simplify

(\frac{3 π}{10} + 4) - 3 (\frac{2 π}{5})

Frequently Asked Questions (FAQ)

What is 80x-36>(80)/x ?
The solution to 80x-36>(80)/x is -4/5 <x<0\lor x> 5/4