What are the solutions to the equation x(x+6)(x+2)=64 ?

The solutions to the equation x(x+6)(x+2)=64 are x=2,x=-5+sqrt(7)i,x=-5-sqrt(7)i

Find the zeros of x(x+6)(x+2)=64

The zeros of x(x+6)(x+2)=64 are x=2,x=-5+sqrt(7)i,x=-5-sqrt(7)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x + 6) (x + 2) = 64

x = 2, x = - 5 + 7 i, x = - 5 - 7 i

Solution steps

x (x + 6) (x + 2) = 64

Expand

x (x + 6) (x + 2) : x^{3} + 8 x^{2} + 12 x

x^{3} + 8 x^{2} + 12 x = 64

Move

64

to the left side

x^{3} + 8 x^{2} + 12 x - 64 = 0

Factor

x^{3} + 8 x^{2} + 12 x - 64 : (x - 2) (x^{2} + 10 x + 32)

(x - 2) (x^{2} + 10 x + 32) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 10 x + 32 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 10 x + 32 = 0 : x = - 5 + 7 i, x = - 5 - 7 i

The solutions are

x = 2, x = - 5 + 7 i, x = - 5 - 7 i

52 x^{3} - 29 x - 1 = 0

x^{3} - 4 x = 5 x^{2} - 20

1 - 3 x + x^{2} - x^{3} = x

5 x^{3} - 3 x^{2} + 180 x - 108

y, x^{3} = 4 y^{2} + 4 y - 3

What are the solutions to the equation x(x+6)(x+2)=64 ?
The solutions to the equation x(x+6)(x+2)=64 are x=2,x=-5+sqrt(7)i,x=-5-sqrt(7)i
Find the zeros of x(x+6)(x+2)=64
The zeros of x(x+6)(x+2)=64 are x=2,x=-5+sqrt(7)i,x=-5-sqrt(7)i