What are the solutions to the equation -30x=-6x^3+5x ?

The solutions to the equation -30x=-6x^3+5x are x=0,x=-sqrt(35/6),x=sqrt(35/6)

Find the zeros of -30x=-6x^3+5x

The zeros of -30x=-6x^3+5x are x=0,x=-sqrt(35/6),x=sqrt(35/6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 30 x = - 6 x^{3} + 5 x

x = 0, x = - \frac{35}{6}, x = \frac{35}{6}

Decimal Notation

x = 0, x = - 2.41522 \dots, x = 2.41522 \dots

Solution steps

- 30 x = - 6 x^{3} + 5 x

Switch sides

- 6 x^{3} + 5 x = - 30 x

Move

30 x

to the left side

- 6 x^{3} + 35 x = 0

Factor

- 6 x^{3} + 35 x : - x (6 x + 35) (6 x - 35)

- x (6 x + 35) (6 x - 35) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 6 x + 35 = 0 or 6 x - 35 = 0

Solve

6 x + 35 = 0 : x = - \frac{35}{6}

Solve

6 x - 35 = 0 : x = \frac{35}{6}

The solutions are

x = 0, x = - \frac{35}{6}, x = \frac{35}{6}

x^{4} - 8 x^{2} + 5 = 5

0 = x - x^{3}

x^{3} - 7 x^{2} + 12 x - 6 = 0

384 = 3 h \cdot 2 h \cdot h

x^{3} + 3 x^{2} + 2 x - 6 = 0

What are the solutions to the equation -30x=-6x^3+5x ?
The solutions to the equation -30x=-6x^3+5x are x=0,x=-sqrt(35/6),x=sqrt(35/6)
Find the zeros of -30x=-6x^3+5x
The zeros of -30x=-6x^3+5x are x=0,x=-sqrt(35/6),x=sqrt(35/6)