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

The solutions to the equation x^3+x^2=9x+9 are x=-1,x=-3,x=3

Find the zeros of x^3+x^2=9x+9

The zeros of x^3+x^2=9x+9 are x=-1,x=-3,x=3

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

x = - 1, x = - 3, x = 3

Solution steps

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

Move

9

to the left side

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

Move

9 x

to the left side

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

Write in the standard form

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

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

Factor

x^{3} + x^{2} - 9 x - 9 : (x + 1) (x + 3) (x - 3)

(x + 1) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = - 1, x = - 3, x = 3

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

x^{4} - 4 x^{3} + 8 x^{2} - 16 x + 16 = 0

w^{3} = 512

3 x^{4} - 2 x^{3} + 2 x^{2} - 8 x - 40 = 0

x, x^{1000} + y^{1000} = 5

What are the solutions to the equation x^3+x^2=9x+9 ?
The solutions to the equation x^3+x^2=9x+9 are x=-1,x=-3,x=3
Find the zeros of x^3+x^2=9x+9
The zeros of x^3+x^2=9x+9 are x=-1,x=-3,x=3