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

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

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

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

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

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

Solution steps

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

Factor

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

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

3 x^{3} = - 12 x

6 x^{3} - 5 x^{2} + 7 x - 2 = 0

4 x^{4} + 21 x^{2} - 18 = 0

x^{8} = 1

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