What are the solutions to the equation 2x^4+5x^3-23x^2+10x=0 ?

The solutions to the equation 2x^4+5x^3-23x^2+10x=0 are x=0,x=2,x= 1/2 ,x=-5

Find the zeros of 2x^4+5x^3-23x^2+10x=0

The zeros of 2x^4+5x^3-23x^2+10x=0 are x=0,x=2,x= 1/2 ,x=-5

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2 x^{4} + 5 x^{3} - 23 x^{2} + 10 x = 0

x = 0, x = 2, x = \frac{1}{2}, x = - 5

Decimal

x = 0, x = 2, x = 0.5, x = - 5

Solution steps

2 x^{4} + 5 x^{3} - 23 x^{2} + 10 x = 0

Factor

2 x^{4} + 5 x^{3} - 23 x^{2} + 10 x : x (x - 2) (2 x - 1) (x + 5)

x (x - 2) (2 x - 1) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or 2 x - 1 = 0 or x + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 0, x = 2, x = \frac{1}{2}, x = - 5

x^{3} + 9 x^{2} + 20 x = 0

12 x^{3} - 36 x = 0

2 x^{3} - 3 x^{2} - 32 x - 15 = 0

15 x^{2} - 5 x^{5} - 5 = 0

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

What are the solutions to the equation 2x^4+5x^3-23x^2+10x=0 ?
The solutions to the equation 2x^4+5x^3-23x^2+10x=0 are x=0,x=2,x= 1/2 ,x=-5
Find the zeros of 2x^4+5x^3-23x^2+10x=0
The zeros of 2x^4+5x^3-23x^2+10x=0 are x=0,x=2,x= 1/2 ,x=-5