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Popular >

(3x^2-2x)/(3x-2)<=-2

Solution

\frac{3 x ^{2} - 2 x}{3 x - 2} \leq - 2

Solution

x \leq - 2

+1

Interval Notation

(- \infty, - 2]

Solution steps

\frac{3 x ^{2} - 2 x}{3 x - 2} \leq - 2

Rewrite in standard form

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

Factor

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

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

Identify the intervals

x \leq - 2

Popular Examples

\frac{2}{3} x = - 12

simplify ((5/13))/((12/13))simplify

\frac{( \frac{5}{13} )}{( \frac{12}{13} )}

simplify ((7-8i))/((4-5i))simplify

\frac{( 7 - 8 i )}{( 4 - 5 i )}

(x+3)/((x-4)^2(x^2-4))<= 0

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

9(x+5)<= 7(x+1)+45

9 (x + 5) \leq 7 (x + 1) + 45

Frequently Asked Questions (FAQ)

What is (3x^2-2x)/(3x-2)<=-2 ?
The solution to (3x^2-2x)/(3x-2)<=-2 is x<=-2