What are the solutions to the equation 2x^3+10x^2+4x=-8x ?

The solutions to the equation 2x^3+10x^2+4x=-8x are x=0,x=-2,x=-3

Find the zeros of 2x^3+10x^2+4x=-8x

The zeros of 2x^3+10x^2+4x=-8x are x=0,x=-2,x=-3

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2 x^{3} + 10 x^{2} + 4 x = - 8 x

x = 0, x = - 2, x = - 3

Solution steps

2 x^{3} + 10 x^{2} + 4 x = - 8 x

Move

8 x

to the left side

2 x^{3} + 10 x^{2} + 12 x = 0

Factor

2 x^{3} + 10 x^{2} + 12 x : 2 x (x + 2) (x + 3)

2 x (x + 2) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x + 3 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = - 2, x = - 3

x, x^{3} - 3 x^{2} + x = 0

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

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

y^{5} - 16 y^{4} + 14 y^{3} = 0

x^{3} - 6 x - 26 = 0

What are the solutions to the equation 2x^3+10x^2+4x=-8x ?
The solutions to the equation 2x^3+10x^2+4x=-8x are x=0,x=-2,x=-3
Find the zeros of 2x^3+10x^2+4x=-8x
The zeros of 2x^3+10x^2+4x=-8x are x=0,x=-2,x=-3