What are the solutions to the equation 4x=x^3 ?

The solutions to the equation 4x=x^3 are x=0,x=-2,x=2

Find the zeros of 4x=x^3

The zeros of 4x=x^3 are x=0,x=-2,x=2

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4 x = x^{3}

x = 0, x = - 2, x = 2

Solution steps

4 x = x^{3}

Switch sides

x^{3} = 4 x

Move

4 x

to the left side

x^{3} - 4 x = 0

Factor

x^{3} - 4 x : x (x + 2) (x - 2)

x (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 2, x = 2

x^{3} - 9 x^{2} = 0

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

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

x^{4} + 15 x^{2} - 16 = 0

v^{3} = 12

What are the solutions to the equation 4x=x^3 ?
The solutions to the equation 4x=x^3 are x=0,x=-2,x=2
Find the zeros of 4x=x^3
The zeros of 4x=x^3 are x=0,x=-2,x=2