What are the solutions to the equation b^3=b ?

The solutions to the equation b^3=b are b=0,b=-1,b=1

Find the zeros of b^3=b

The zeros of b^3=b are b=0,b=-1,b=1

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b^{3} = b

b = 0, b = - 1, b = 1

Solution steps

b^{3} = b

Move

b

to the left side

b^{3} - b = 0

Factor

b^{3} - b : b (b + 1) (b - 1)

b (b + 1) (b - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

b = 0 or b + 1 = 0 or b - 1 = 0

Solve

b + 1 = 0 : b = - 1

Solve

b - 1 = 0 : b = 1

The solutions are

b = 0, b = - 1, b = 1

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

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

8 x^{3} - 50 x = 0

k^{3} - 4 k^{2} - 2 k + 8 = 0

x^{3} + 9 x^{2} + 27 x + 19 = 0

What are the solutions to the equation b^3=b ?
The solutions to the equation b^3=b are b=0,b=-1,b=1
Find the zeros of b^3=b
The zeros of b^3=b are b=0,b=-1,b=1