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

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

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

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

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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^{4} - 2 x^{3} - 13 x^{2} + 16 x + 24 = 0

z^{4} + 2 z^{3} - 4 z^{2} - 5 z - 6 = 0

z^{7} - 9 z^{4} + 8 z = 0

x^{3} = \frac{27}{64}

2 x^{3} - 9 x^{2} - 24 x + 20 = 0

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