What are the solutions to the equation solvefor x,x^3+2x^2=9x+18 ?

The solutions to the equation solvefor x,x^3+2x^2=9x+18 are x=-2,x=-3,x=3

Find the zeros of solvefor x,x^3+2x^2=9x+18

The zeros of solvefor x,x^3+2x^2=9x+18 are x=-2,x=-3,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solve for

x, x^{3} + 2 x^{2} = 9 x + 18

x = - 2, x = - 3, x = 3

Solution steps

x^{3} + 2 x^{2} = 9 x + 18

Move

18

to the left side

x^{3} + 2 x^{2} - 18 = 9 x

Move

9 x

to the left side

x^{3} + 2 x^{2} - 18 - 9 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} + 2 x^{2} - 9 x - 18 = 0

Factor

x^{3} + 2 x^{2} - 9 x - 18 : (x + 2) (x + 3) (x - 3)

(x + 2) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = - 2, x = - 3, x = 3

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

x^{3} + 7 x^{2} + 16 x + 12 = 0

c^{3} = 2

x - 3 x^{5} - \frac{1}{4} = 0

y^{14} + 12 y = - 16 + 9 y

What are the solutions to the equation solvefor x,x^3+2x^2=9x+18 ?
The solutions to the equation solvefor x,x^3+2x^2=9x+18 are x=-2,x=-3,x=3
Find the zeros of solvefor x,x^3+2x^2=9x+18
The zeros of solvefor x,x^3+2x^2=9x+18 are x=-2,x=-3,x=3