What are the solutions to the equation -4y+4y^3=0 ?

The solutions to the equation -4y+4y^3=0 are y=0,y=-1,y=1

Find the zeros of -4y+4y^3=0

The zeros of -4y+4y^3=0 are y=0,y=-1,y=1

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- 4 y + 4 y^{3} = 0

y = 0, y = - 1, y = 1

Solution steps

- 4 y + 4 y^{3} = 0

Factor

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

4 y (y + 1) (y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 1 = 0 or y - 1 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y - 1 = 0 : y = 1

The solutions are

y = 0, y = - 1, y = 1

x^{3} - 3 = x^{9} + 3

z^{3} = - 2 + 23 i

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

y^{3} + 27 = 0

(2 a)^{3} = 2 a^{3}

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