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Popular >

-25x^2+30x-9<0

Solution

- 25 x^{2} + 30 x - 9 < 0

Solution

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

+2

Interval Notation

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

Decimal Notation

x < 0.6 or x > 0.6

Solution steps

- 25 x^{2} + 30 x - 9 < 0

Factor

- 25 x^{2} + 30 x - 9 : - (5 x - 3)^{2}

- (5 x - 3)^{2} < 0

Multiply both sides by

- 1

(5 x - 3)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

5 x - 3 < 0 or 5 x - 3 > 0

5 x - 3 < 0 : x < \frac{3}{5}

5 x - 3 > 0 : x > \frac{3}{5}

Combine the intervals

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

Popular Examples

factor 27x^3+125 factor

27 x^{3} + 125

a - 2 > 4

m^{2} - 12 m + 23 = 5

1 - \frac{( 2 - x )}{3} = 2

simplify sqrt(81/100)simplify

\frac{81}{100}

Frequently Asked Questions (FAQ)

What is -25x^2+30x-9<0 ?
The solution to -25x^2+30x-9<0 is x< 3/5 \lor x> 3/5