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Popular >

25x^2+60x>-36

Solution

25 x^{2} + 60 x > - 36

Solution

x < - \frac{6}{5} or x > - \frac{6}{5}

+2

Interval Notation

(- \infty, - \frac{6}{5}) \cup (- \frac{6}{5}, \infty)

Decimal Notation

x < - 1.2 or x > - 1.2

Solution steps

25 x^{2} + 60 x > - 36

Rewrite in standard form

25 x^{2} + 60 x + 36 > 0

Factor

25 x^{2} + 60 x + 36 : (5 x + 6)^{2}

(5 x + 6)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

5 x + 6 < 0 or 5 x + 6 > 0

5 x + 6 < 0 : x < - \frac{6}{5}

5 x + 6 > 0 : x > - \frac{6}{5}

Combine the intervals

x < - \frac{6}{5} or x > - \frac{6}{5}

Popular Examples

factor y^3+1000 factor

y^{3} + 1000

∣ 3 x ∣ < 12

factor 4z^4-25 factor

4 z^{4} - 25

factor 54v^2-6u^2 factor

54 v^{2} - 6 u^{2}

simplify 5/((1-i)(2-i)(3-i))simplify

\frac{5}{( 1 - i ) ( 2 - i ) ( 3 - i )}

Frequently Asked Questions (FAQ)

What is 25x^2+60x>-36 ?
The solution to 25x^2+60x>-36 is x<-6/5 \lor x>-6/5