What are the solutions to the equation 216x=6x^3 ?

The solutions to the equation 216x=6x^3 are x=0,x=-6,x=6

Find the zeros of 216x=6x^3

The zeros of 216x=6x^3 are x=0,x=-6,x=6

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216 x = 6 x^{3}

x = 0, x = - 6, x = 6

Solution steps

216 x = 6 x^{3}

Move

6 x^{3}

to the left side

216 x - 6 x^{3} = 0

Factor

216 x - 6 x^{3} : - 6 x (x + 6) (x - 6)

- 6 x (x + 6) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 6 = 0 or x - 6 = 0

Solve

x + 6 = 0 : x = - 6

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 6, x = 6

x^{4} + x^{2} - 20 = 0

x^{3} + x^{2} - 25 x - 25 = 0

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

x^{3} - 5 x^{2} + 7 x - 3 = 0

- x^{3} + 10 x^{2} - 32 x + 32 = 0

What are the solutions to the equation 216x=6x^3 ?
The solutions to the equation 216x=6x^3 are x=0,x=-6,x=6
Find the zeros of 216x=6x^3
The zeros of 216x=6x^3 are x=0,x=-6,x=6