What are the solutions to the equation 2x^3-10x^2-72x=0 ?

The solutions to the equation 2x^3-10x^2-72x=0 are x=0,x=-4,x=9

Find the zeros of 2x^3-10x^2-72x=0

The zeros of 2x^3-10x^2-72x=0 are x=0,x=-4,x=9

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2 x^{3} - 10 x^{2} - 72 x = 0

x = 0, x = - 4, x = 9

Solution steps

2 x^{3} - 10 x^{2} - 72 x = 0

Factor

2 x^{3} - 10 x^{2} - 72 x : 2 x (x + 4) (x - 9)

2 x (x + 4) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0 or x - 9 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = - 4, x = 9

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

- 4 x^{3} + 16 x = 0

x^{4} - 5 x^{2} - 36

x^{3} - 81 = 0

x (x - 1) (x + 2) - 2 = 0

What are the solutions to the equation 2x^3-10x^2-72x=0 ?
The solutions to the equation 2x^3-10x^2-72x=0 are x=0,x=-4,x=9
Find the zeros of 2x^3-10x^2-72x=0
The zeros of 2x^3-10x^2-72x=0 are x=0,x=-4,x=9