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

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

Find the zeros of 64x=4x^3

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

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64 x = 4 x^{3}

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

Solution steps

64 x = 4 x^{3}

Move

4 x^{3}

to the left side

64 x - 4 x^{3} = 0

Factor

64 x - 4 x^{3} : - 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

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

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

27 x^{3} - 8 = 0

4 x^{4} - 5 x^{2} + 1 = 0

y^{4} - 13 y^{2} + 36 = 0

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