en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x-2x^2<0

Solution

4 x - 2 x^{2} < 0

Solution

x < 0 or x > 2

+1

Interval Notation

(- \infty, 0) \cup (2, \infty)

Solution steps

4 x - 2 x^{2} < 0

Rewrite in standard form

- x^{2} + 2 x < 0

Factor

- x^{2} + 2 x : - x (x - 2)

- x (x - 2) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x - 2)) (- 1) > 0 \cdot (- 1)

Simplify

x (x - 2) > 0

Identify the intervals

x < 0 or x > 2

Popular Examples

\frac{m}{2} = 1

\frac{b}{2.5} > - 3

factor gx^2-3hx^2-6fy^2-gy^2+6fx^2+3hy^2 factor

g x^{2} - 3 h x^{2} - 6 f y^{2} - g y^{2} + 6 f x^{2} + 3 h y^{2}

(x-3)(x+4)=(x+2)^2-1

(x - 3) (x + 4) = (x + 2)^{2} - 1

8 n < - 88

Frequently Asked Questions (FAQ)

What is 4x-2x^2<0 ?
The solution to 4x-2x^2<0 is x<0\lor x>2