What is 3x(x+4)-x(x-1)<15 ?

The solution to 3x(x+4)-x(x-1)<15 is -15/2 <x<1

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3x(x+4)-x(x-1)<15

3 x (x + 4) - x (x - 1) < 15

- \frac{15}{2} < x < 1

Solution steps

3 x (x + 4) - x (x - 1) < 15

Rewrite in standard form

2 x^{2} + 13 x - 15 < 0

Factor

2 x^{2} + 13 x - 15 : (x - 1) (2 x + 15)

(x - 1) (2 x + 15) < 0

Identify the intervals

- \frac{15}{2} < x < 1

\frac{( 104.57 - 98.411 )}{104.57} 100

x^{2} + 5 x + 3 = 0

(- 7 x)^{\frac{1}{5}}

9 e + 4 = - 5 e + 14 + 13 e

8 x + 10 - 2 x = 4 (x - 5)