What are the solutions to the equation 25x^3=64x ?

The solutions to the equation 25x^3=64x are x=0,x=-8/5 ,x= 8/5

Find the zeros of 25x^3=64x

The zeros of 25x^3=64x are x=0,x=-8/5 ,x= 8/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25 x^{3} = 64 x

x = 0, x = - \frac{8}{5}, x = \frac{8}{5}

Decimal Notation

x = 0, x = - 1.6, x = 1.6

Solution steps

25 x^{3} = 64 x

Move

64 x

to the left side

25 x^{3} - 64 x = 0

Factor

25 x^{3} - 64 x : x (5 x + 8) (5 x - 8)

x (5 x + 8) (5 x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x + 8 = 0 or 5 x - 8 = 0

Solve

5 x + 8 = 0 : x = - \frac{8}{5}

Solve

5 x - 8 = 0 : x = \frac{8}{5}

The solutions are

x = 0, x = - \frac{8}{5}, x = \frac{8}{5}

z^{4} - 2 z^{2} + 2 = 0

5 x^{3} = 1080

60 x^{3} + 60 x^{2} - 300 x + 180 = 0

x^{3} - 2

x^{3} - 8

What are the solutions to the equation 25x^3=64x ?
The solutions to the equation 25x^3=64x are x=0,x=-8/5 ,x= 8/5
Find the zeros of 25x^3=64x
The zeros of 25x^3=64x are x=0,x=-8/5 ,x= 8/5