What are the solutions to the equation 2x^3-6x^2=56x ?

The solutions to the equation 2x^3-6x^2=56x are x=0,x=-4,x=7

Find the zeros of 2x^3-6x^2=56x

The zeros of 2x^3-6x^2=56x are x=0,x=-4,x=7

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2 x^{3} - 6 x^{2} = 56 x

x = 0, x = - 4, x = 7

Solution steps

2 x^{3} - 6 x^{2} = 56 x

Move

56 x

to the left side

2 x^{3} - 6 x^{2} - 56 x = 0

Factor

2 x^{3} - 6 x^{2} - 56 x : 2 x (x + 4) (x - 7)

2 x (x + 4) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0 or x - 7 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = - 4, x = 7

3 y^{3} = 375

2 x (x + 9) (x^{2} - 2) = 0

2 x^{3} - 4 x + 5 = 0

10 x^{4} - 9 x^{2} + 2 = 0

x^{4} + 6 x^{2} + 25 = 0

What are the solutions to the equation 2x^3-6x^2=56x ?
The solutions to the equation 2x^3-6x^2=56x are x=0,x=-4,x=7
Find the zeros of 2x^3-6x^2=56x
The zeros of 2x^3-6x^2=56x are x=0,x=-4,x=7