What are the solutions to the equation x^3-3x^2-40x=0 ?

The solutions to the equation x^3-3x^2-40x=0 are x=0,x=-5,x=8

Find the zeros of x^3-3x^2-40x=0

The zeros of x^3-3x^2-40x=0 are x=0,x=-5,x=8

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x^{3} - 3 x^{2} - 40 x = 0

x = 0, x = - 5, x = 8

Solution steps

x^{3} - 3 x^{2} - 40 x = 0

Factor

x^{3} - 3 x^{2} - 40 x : x (x + 5) (x - 8)

x (x + 5) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 5 = 0 or x - 8 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = - 5, x = 8

x^{12} - 12 = 36

(x^{2} + 25)^{2} = 0

y, x^{3} + y^{3} = 0

x^{5} + 2 x^{3} + 10 x^{2} + x + 10 = 0

y, x + x^{3} = y + y^{3}

What are the solutions to the equation x^3-3x^2-40x=0 ?
The solutions to the equation x^3-3x^2-40x=0 are x=0,x=-5,x=8
Find the zeros of x^3-3x^2-40x=0
The zeros of x^3-3x^2-40x=0 are x=0,x=-5,x=8