What are the solutions to the equation (6x^3)x^5=6x(3x^5) ?

The solutions to the equation (6x^3)x^5=6x(3x^5) are x=0,x=-sqrt(3),x=sqrt(3)

Find the zeros of (6x^3)x^5=6x(3x^5)

The zeros of (6x^3)x^5=6x(3x^5) are x=0,x=-sqrt(3),x=sqrt(3)

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(6 x^{3}) x^{5} = 6 x (3 x^{5})

x = 0, x = - 3, x = 3

Decimal Notation

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

(6 x^{3}) x^{5} = 6 x (3 x^{5})

Move

6 x (3 x^{5})

to the left side

6 x^{3} x^{5} - 6 x \cdot 3 x^{5} = 0

Factor

6 x^{3} x^{5} - 6 x \cdot 3 x^{5} : 6 x^{6} (x + 3) (x - 3)

6 x^{6} (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

x^{3} - 2 x^{2} - 2 x - 1 = - 3

(x^{2} + 4)^{2} - 11 (x^{2} + 4) + 24 = 0

3 x^{3} - 4 x^{2} + 11 x + 10 = 0

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

x^{3} + 6 x^{2} + 5 x = 0

What are the solutions to the equation (6x^3)x^5=6x(3x^5) ?
The solutions to the equation (6x^3)x^5=6x(3x^5) are x=0,x=-sqrt(3),x=sqrt(3)
Find the zeros of (6x^3)x^5=6x(3x^5)
The zeros of (6x^3)x^5=6x(3x^5) are x=0,x=-sqrt(3),x=sqrt(3)