What are the solutions to the equation 2x^3-2x^2-16x=2x^2 ?

The solutions to the equation 2x^3-2x^2-16x=2x^2 are x=0,x=-2,x=4

Find the zeros of 2x^3-2x^2-16x=2x^2

The zeros of 2x^3-2x^2-16x=2x^2 are x=0,x=-2,x=4

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2 x^{3} - 2 x^{2} - 16 x = 2 x^{2}

x = 0, x = - 2, x = 4

Solution steps

2 x^{3} - 2 x^{2} - 16 x = 2 x^{2}

Move

2 x^{2}

to the left side

2 x^{3} - 4 x^{2} - 16 x = 0

Factor

2 x^{3} - 4 x^{2} - 16 x : 2 x (x + 2) (x - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 4 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = - 2, x = 4

- λ^{3} + 3 λ^{2} + 9 λ + 5 = 0

- x^{3} + 4 x^{2} + 25 x - 100 = 0

9 = x^{5} + x^{3} + x

3 x^{3} - 4 x^{2} - 48 x + 64 = 0

10000 = 1 x^{10}

What are the solutions to the equation 2x^3-2x^2-16x=2x^2 ?
The solutions to the equation 2x^3-2x^2-16x=2x^2 are x=0,x=-2,x=4
Find the zeros of 2x^3-2x^2-16x=2x^2
The zeros of 2x^3-2x^2-16x=2x^2 are x=0,x=-2,x=4