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Popular >

9x^2+30x>-25

Solution

9 x^{2} + 30 x > - 25

Solution

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

+2

Interval Notation

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

Decimal Notation

x < - 1.66666 \dots or x > - 1.66666 \dots

Solution steps

9 x^{2} + 30 x > - 25

Rewrite in standard form

9 x^{2} + 30 x + 25 > 0

Factor

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

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

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

3 x + 5 < 0 or 3 x + 5 > 0

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

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

Combine the intervals

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

Popular Examples

2 x^{2} - 144 = 0

factor N^4+5N^2+6 factor

N^{4} + 5 N^{2} + 6

factor 3x^2(x-2)+9x^2(x-2)^2 factor

3 x^{2} (x - 2) + 9 x^{2} (x - 2)^{2}

∣ 2 x - 6 ∣ = ∣ x ∣

- 4.5 x^{2} + 72 = 0

Frequently Asked Questions (FAQ)

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