What are the solutions to the equation x(x+10)(x^2-5)=0 ?

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

Find the zeros of x(x+10)(x^2-5)=0

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

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x (x + 10) (x^{2} - 5) = 0

x = 0, x = - 10, x = - 5, x = 5

Decimal Notation

x = 0, x = - 10, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

x (x + 10) (x^{2} - 5) = 0

Factor

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

x (x + 10) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 10 = 0 or x + 5 = 0 or x - 5 = 0

Solve

x + 10 = 0 : x = - 10

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - 10, x = - 5, x = 5

24 x^{4} - 8 x^{2} + 30 = 0

x^{3} + 3 x^{2} - 14 x - 42 = 0

4 x^{4} = 13 x^{2} - 9

a^{9} = 17 + (9 - 1) - 8

- x^{3} + 3 x^{2} + 24 x - 80 = 0

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