What are the solutions to the equation -360x^3+25x=0 ?

The solutions to the equation -360x^3+25x=0 are x=0,x=-(sqrt(5))/(6sqrt(2)),x=(sqrt(5))/(6sqrt(2))

Find the zeros of -360x^3+25x=0

The zeros of -360x^3+25x=0 are x=0,x=-(sqrt(5))/(6sqrt(2)),x=(sqrt(5))/(6sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 360 x^{3} + 25 x = 0

x = 0, x = - \frac{5}{6 2}, x = \frac{5}{6 2}

Decimal Notation

x = 0, x = - 0.26352 \dots, x = 0.26352 \dots

Solution steps

- 360 x^{3} + 25 x = 0

Factor

- 360 x^{3} + 25 x : - 5 x (62 x + 5) (62 x - 5)

- 5 x (62 x + 5) (62 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 62 x + 5 = 0 or 62 x - 5 = 0

Solve

62 x + 5 = 0 : x = - \frac{5}{6 2}

Solve

62 x - 5 = 0 : x = \frac{5}{6 2}

The solutions are

x = 0, x = - \frac{5}{6 2}, x = \frac{5}{6 2}

x^{3} - 9 x^{2} + 20 x = 0

(x^{2} - 4)^{3} = 0

4 y^{4} - 4 y = 0

4 x^{3} + 2 x - 8 = 0

4 π x^{2} = \frac{4 π x ^{3}}{3}

What are the solutions to the equation -360x^3+25x=0 ?
The solutions to the equation -360x^3+25x=0 are x=0,x=-(sqrt(5))/(6sqrt(2)),x=(sqrt(5))/(6sqrt(2))
Find the zeros of -360x^3+25x=0
The zeros of -360x^3+25x=0 are x=0,x=-(sqrt(5))/(6sqrt(2)),x=(sqrt(5))/(6sqrt(2))