What are the solutions to the equation x^2(x+1)^2(x^2+1)^3=0 ?

The solutions to the equation x^2(x+1)^2(x^2+1)^3=0 are x=0,x=-1,x=i,x=-i

Find the zeros of x^2(x+1)^2(x^2+1)^3=0

The zeros of x^2(x+1)^2(x^2+1)^3=0 are x=0,x=-1,x=i,x=-i

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

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

Solution steps

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x^{2} + 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

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

x^{5} = e^{10}

2 x^{4} + 5 x^{3} + 9 x^{2} + 15 x + 9

x^{4} - 8 x + 1 = 0

x^{4} + 3 x^{3} + 3 x^{2} + 2 x + 1 = 0

2 x + 4 = x^{3}

What are the solutions to the equation x^2(x+1)^2(x^2+1)^3=0 ?
The solutions to the equation x^2(x+1)^2(x^2+1)^3=0 are x=0,x=-1,x=i,x=-i
Find the zeros of x^2(x+1)^2(x^2+1)^3=0
The zeros of x^2(x+1)^2(x^2+1)^3=0 are x=0,x=-1,x=i,x=-i