What are the solutions to the equation x^3+2x^2=25x+50 ?

The solutions to the equation x^3+2x^2=25x+50 are x=-2,x=-5,x=5

Find the zeros of x^3+2x^2=25x+50

The zeros of x^3+2x^2=25x+50 are x=-2,x=-5,x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} + 2 x^{2} = 25 x + 50

x = - 2, x = - 5, x = 5

Solution steps

x^{3} + 2 x^{2} = 25 x + 50

Move

50

to the left side

x^{3} + 2 x^{2} - 50 = 25 x

Move

25 x

to the left side

x^{3} + 2 x^{2} - 50 - 25 x = 0

Write in the standard form

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

x^{3} + 2 x^{2} - 25 x - 50 = 0

Factor

x^{3} + 2 x^{2} - 25 x - 50 : (x + 2) (x + 5) (x - 5)

(x + 2) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x + 5 = 0 or x - 5 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 2, x = - 5, x = 5

36 x^{4} - 97 x^{2} + 36 = 0

m^{3} + 3 m^{2} + 2 m = 0

x^{3} - 5 x^{2} - 15 x + 75 = 0

x^{8} - 9 x^{4} + 8 = 0

4 x^{3} - 20 x^{2} + 23 x - 7 = 0

What are the solutions to the equation x^3+2x^2=25x+50 ?
The solutions to the equation x^3+2x^2=25x+50 are x=-2,x=-5,x=5
Find the zeros of x^3+2x^2=25x+50
The zeros of x^3+2x^2=25x+50 are x=-2,x=-5,x=5