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Popular >

6(x^2-1)>5x

Solution

6 (x^{2} - 1) > 5 x

Solution

x < - \frac{2}{3} or x > \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < - 0.66666 \dots or x > 1.5

Solution steps

6 (x^{2} - 1) > 5 x

Rewrite in standard form

6 x^{2} - 6 - 5 x > 0

Factor

6 x^{2} - 6 - 5 x : (3 x + 2) (2 x - 3)

(3 x + 2) (2 x - 3) > 0

Identify the intervals

x < - \frac{2}{3} or x > \frac{3}{2}

Popular Examples

simplify 2-8/5 simplify

2 - \frac{8}{5}

simplify 2/(2/3)-2/(3/2)simplify

\frac{2}{\frac{2}{3}} - \frac{2}{\frac{3}{2}}

- 6 (x + 7) = - 4 x - 2

| x/3-1/4 |= 1/12

\frac{x}{3} - \frac{1}{4} = \frac{1}{12}

simplify (10^2)/(10^5)simplify

\frac{1 0 ^{2}}{1 0 ^{5}}

Frequently Asked Questions (FAQ)

What is 6(x^2-1)>5x ?
The solution to 6(x^2-1)>5x is x<-2/3 \lor x> 3/2