What are the solutions to the equation 0=y^2-y^3 ?

The solutions to the equation 0=y^2-y^3 are y=0,y=1

Find the zeros of 0=y^2-y^3

The zeros of 0=y^2-y^3 are y=0,y=1

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0 = y^{2} - y^{3}

y = 0, y = 1

Solution steps

0 = y^{2} - y^{3}

Switch sides

y^{2} - y^{3} = 0

Factor

y^{2} - y^{3} : - y^{2} (y - 1)

- y^{2} (y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y - 1 = 0

Solve

y - 1 = 0 : y = 1

The solutions are

y = 0, y = 1

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

t^{3} = 8

x^{3} - 8 x + 8 = 0

x^{3} - 3 x^{2} = (x - 3) (x + 20)

t^{3} = t

What are the solutions to the equation 0=y^2-y^3 ?
The solutions to the equation 0=y^2-y^3 are y=0,y=1
Find the zeros of 0=y^2-y^3
The zeros of 0=y^2-y^3 are y=0,y=1