What are the solutions to the equation 4x^3=64x ?

The solutions to the equation 4x^3=64x are x=0,x=-4,x=4

Find the zeros of 4x^3=64x

The zeros of 4x^3=64x are x=0,x=-4,x=4

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4 x^{3} = 64 x

x = 0, x = - 4, x = 4

Solution steps

4 x^{3} = 64 x

Move

64 x

to the left side

4 x^{3} - 64 x = 0

Factor

4 x^{3} - 64 x : 4 x (x + 4) (x - 4)

4 x (x + 4) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0 or x - 4 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = - 4, x = 4

2 x^{3} - 21 x^{2} + 71 x - 78 = 0

x^{3} - 6 x^{2} + 7 x = 0

3 x^{3} - 25 x^{2} + 58 x - 40

6 x^{3} = 0

x^{3} + 2 x^{2} - 11 x - 12

What are the solutions to the equation 4x^3=64x ?
The solutions to the equation 4x^3=64x are x=0,x=-4,x=4
Find the zeros of 4x^3=64x
The zeros of 4x^3=64x are x=0,x=-4,x=4