What are the solutions to the equation solvefor x,7x^6=y^2x ?

The solutions to the equation solvefor x,7x^6=y^2x are x=0,x=\sqrt[5]{(y^2)/7}

Find the zeros of solvefor x,7x^6=y^2x

The zeros of solvefor x,7x^6=y^2x are x=0,x=\sqrt[5]{(y^2)/7}

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solve for

x, 7 x^{6} = y^{2} x

Solution steps

7 x^{6} = y^{2} x

Move

y^{2} x

to the left side

7 x^{6} - y^{2} x = 0

Factor

7 x^{6} - y^{2} x : x (7 x^{5} - y^{2})

x (7 x^{5} - y^{2}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 7 x^{5} - y^{2} = 0

Solve

The solutions are

x, x^{4} - 4 x^{2} - y = 0

- 5 s s^{2} - 16 + 8 s + 4 = 1 s - 4

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

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

8 q - 14 q^{2} - 4 q^{3} = 0

What are the solutions to the equation solvefor x,7x^6=y^2x ?
The solutions to the equation solvefor x,7x^6=y^2x are x=0,x=\sqrt[5]{(y^2)/7}
Find the zeros of solvefor x,7x^6=y^2x
The zeros of solvefor x,7x^6=y^2x are x=0,x=\sqrt[5]{(y^2)/7}