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Popular >

(3x+5)^2-5x(x+10)>0

Solution

(3 x + 5)^{2} - 5 x (x + 10) > 0

Solution

x < \frac{5}{2} or x > \frac{5}{2}

+2

Solution steps

(3 x + 5)^{2} - 5 x (x + 10) > 0

Factor

(3 x + 5)^{2} - 5 x (x + 10) : (2 x - 5)^{2}

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

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

2 x - 5 < 0 or 2 x - 5 > 0

2 x - 5 < 0 : x < \frac{5}{2}

2 x - 5 > 0 : x > \frac{5}{2}

Combine the intervals

x < \frac{5}{2} or x > \frac{5}{2}

Popular Examples

simplify i^{-15}simplify

i^{- 15}

4 x^{2} - 20 x + 24 = 0

(1.57*10^{-5})*10=x^2

(1.57 \cdot 1 0^{- 5}) \cdot 10 = x^{2}

factor a^5-b^5 factor

a^{5} - b^{5}

factor x^3+9x^2+24x+20 factor

x^{3} + 9 x^{2} + 24 x + 20

Frequently Asked Questions (FAQ)

What is (3x+5)^2-5x(x+10)>0 ?
The solution to (3x+5)^2-5x(x+10)>0 is x< 5/2 \lor x> 5/2