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Popular >

(3x+3)(5x-3)>0

Solution

(3 x + 3) (5 x - 3) > 0

Solution

x < - 1 or x > \frac{3}{5}

+2

Interval Notation

(- \infty, - 1) \cup (\frac{3}{5}, \infty)

Decimal Notation

x < - 1 or x > 0.6

Solution steps

(3 x + 3) (5 x - 3) > 0

Rewrite in standard form

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

Factor

5 x^{2} + 2 x - 3 : (5 x - 3) (x + 1)

(5 x - 3) (x + 1) > 0

Identify the intervals

x < - 1 or x > \frac{3}{5}

Popular Examples

((x-3))/((x^2+9x-22))<0

\frac{( x - 3 )}{( x ^{2} + 9 x - 22 )} < 0

4 x^{2} - 4 x + 3 < 0

((2x-3))/6-((x-1))/2 >7

\frac{( 2 x - 3 )}{6} - \frac{( x - 1 )}{2} > 7

x/2+1<= x/((sqrt(3)))+1/2

\frac{x}{2} + 1 \leq \frac{x}{( 3 )} + \frac{1}{2}

7 + 4 x < 13

Frequently Asked Questions (FAQ)

What is (3x+3)(5x-3)>0 ?
The solution to (3x+3)(5x-3)>0 is x<-1\lor x> 3/5