What are the solutions to the equation 2x^2+15x=x^3 ?

The solutions to the equation 2x^2+15x=x^3 are x=0,x=-3,x=5

Find the zeros of 2x^2+15x=x^3

The zeros of 2x^2+15x=x^3 are x=0,x=-3,x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{2} + 15 x = x^{3}

x = 0, x = - 3, x = 5

Solution steps

2 x^{2} + 15 x = x^{3}

Switch sides

x^{3} = 2 x^{2} + 15 x

Move

15 x

to the left side

x^{3} - 15 x = 2 x^{2}

Move

2 x^{2}

to the left side

x^{3} - 15 x - 2 x^{2} = 0

Factor

x^{3} - 15 x - 2 x^{2} : x (x + 3) (x - 5)

x (x + 3) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 5 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - 3, x = 5

x^{8} + 3 x^{4} = 4

x^{3} - 4 x^{2} - 45 x = 0

x^{4} - 3 x^{2} - 12 = 0

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

5 d^{7} = 40 d^{4}

What are the solutions to the equation 2x^2+15x=x^3 ?
The solutions to the equation 2x^2+15x=x^3 are x=0,x=-3,x=5
Find the zeros of 2x^2+15x=x^3
The zeros of 2x^2+15x=x^3 are x=0,x=-3,x=5