What is (2x+3)(x-3)>(x-1)(3x+2) ?

The solution to (2x+3)(x-3)>(x-1)(3x+2) is No Solution

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(2x+3)(x-3)>(x-1)(3x+2)

(2 x + 3) (x - 3) > (x - 1) (3 x + 2)

No Solution

Solution steps

(2 x + 3) (x - 3) > (x - 1) (3 x + 2)

Rewrite in standard form

- x^{2} - 2 x - 7 > 0

Complete the square

- x^{2} - 2 x - 7 : - (x + 1)^{2} - 6

- (x + 1)^{2} - 6 > 0

Move

6

to the right side

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

Multiply both sides by

- 1

(x + 1)^{2} < - 6

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

x^{2} - 7 x - 11 = 0

x^{2} + 20 x + 103 = 0

(16 x)^{\frac{1}{2}} (6 x^{\frac{1}{4}})

x^{2} + 2 x - 48 = 0

2 (u + 2) - u = 3 (u - 1) + 9

What is (2x+3)(x-3)>(x-1)(3x+2) ?
The solution to (2x+3)(x-3)>(x-1)(3x+2) is No Solution