What are the solutions to the equation x^3+3x^2-10x=0 ?

The solutions to the equation x^3+3x^2-10x=0 are x=0,x=2,x=-5

Find the zeros of x^3+3x^2-10x=0

The zeros of x^3+3x^2-10x=0 are x=0,x=2,x=-5

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x^{3} + 3 x^{2} - 10 x = 0

x = 0, x = 2, x = - 5

Solution steps

x^{3} + 3 x^{2} - 10 x = 0

Factor

x^{3} + 3 x^{2} - 10 x : x (x - 2) (x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 0, x = 2, x = - 5

x^{3} + 512 = 0

4 x^{3} - 25 x = 0

0 = 18 x^{4} + 87 x^{3} + 3 x^{2} - 108 x

= x^{2} x^{46}

x^{4} = x

What are the solutions to the equation x^3+3x^2-10x=0 ?
The solutions to the equation x^3+3x^2-10x=0 are x=0,x=2,x=-5
Find the zeros of x^3+3x^2-10x=0
The zeros of x^3+3x^2-10x=0 are x=0,x=2,x=-5