What are the solutions to the equation x^3+2x^2=15x ?

The solutions to the equation x^3+2x^2=15x are x=0,x=3,x=-5

Find the zeros of x^3+2x^2=15x

The zeros of x^3+2x^2=15x are x=0,x=3,x=-5

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x^{3} + 2 x^{2} = 15 x

x = 0, x = 3, x = - 5

Solution steps

x^{3} + 2 x^{2} = 15 x

Move

15 x

to the left side

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

Factor

x^{3} + 2 x^{2} - 15 x : x (x - 3) (x + 5)

x (x - 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0 or x + 5 = 0

Solve

x - 3 = 0 : x = 3

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 0, x = 3, x = - 5

14 x (11 x - 2) (4 x + 13) = 0

(2 x - 1)^{3} = 0

5 x^{3} - 9 x^{2} + 3 x + 1 = 0

0 = y^{4} - y

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

What are the solutions to the equation x^3+2x^2=15x ?
The solutions to the equation x^3+2x^2=15x are x=0,x=3,x=-5
Find the zeros of x^3+2x^2=15x
The zeros of x^3+2x^2=15x are x=0,x=3,x=-5