What are the solutions to the equation -4x^5+6x^4+4x^3-6x^2=0 ?

The solutions to the equation -4x^5+6x^4+4x^3-6x^2=0 are x=0,x= 3/2 ,x=-1,x=1

Find the zeros of -4x^5+6x^4+4x^3-6x^2=0

The zeros of -4x^5+6x^4+4x^3-6x^2=0 are x=0,x= 3/2 ,x=-1,x=1

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- 4 x^{5} + 6 x^{4} + 4 x^{3} - 6 x^{2} = 0

x = 0, x = \frac{3}{2}, x = - 1, x = 1

Decimal Notation

x = 0, x = 1.5, x = - 1, x = 1

Solution steps

- 4 x^{5} + 6 x^{4} + 4 x^{3} - 6 x^{2} = 0

Factor

- 4 x^{5} + 6 x^{4} + 4 x^{3} - 6 x^{2} : - 2 x^{2} (2 x - 3) (x + 1) (x - 1)

- 2 x^{2} (2 x - 3) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 3 = 0 or x + 1 = 0 or x - 1 = 0

Solve

2 x - 3 = 0 : x = \frac{3}{2}

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = \frac{3}{2}, x = - 1, x = 1

a^{3} = 1000

4 b^{3} + 1 = 1

x^{4} - 14 x^{2} + 40 = 0

3 x^{3} + 4 x^{2} - 30 x - 40 = 0

6 x^{3} = 7 x^{2}

What are the solutions to the equation -4x^5+6x^4+4x^3-6x^2=0 ?
The solutions to the equation -4x^5+6x^4+4x^3-6x^2=0 are x=0,x= 3/2 ,x=-1,x=1
Find the zeros of -4x^5+6x^4+4x^3-6x^2=0
The zeros of -4x^5+6x^4+4x^3-6x^2=0 are x=0,x= 3/2 ,x=-1,x=1