What are the solutions to the equation x^4(x-1)+x^3(x-1)=0 ?

The solutions to the equation x^4(x-1)+x^3(x-1)=0 are x=0,x=1,x=-1

Find the zeros of x^4(x-1)+x^3(x-1)=0

The zeros of x^4(x-1)+x^3(x-1)=0 are x=0,x=1,x=-1

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x^{4} (x - 1) + x^{3} (x - 1) = 0

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

Solution steps

x^{4} (x - 1) + x^{3} (x - 1) = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 1 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 1 = 0 : x = - 1

The solutions are

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

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

x^{33} x^{2} x^{3} = 0

(25)^{150} = 25 x^{50}

2 x^{4} - 8 x^{2} + 8 = 0

x^{20} = 8 3^{10}

What are the solutions to the equation x^4(x-1)+x^3(x-1)=0 ?
The solutions to the equation x^4(x-1)+x^3(x-1)=0 are x=0,x=1,x=-1
Find the zeros of x^4(x-1)+x^3(x-1)=0
The zeros of x^4(x-1)+x^3(x-1)=0 are x=0,x=1,x=-1