What are the solutions to the equation solvefor x,6xy^2=-12x^2y ?

The solutions to the equation solvefor x,6xy^2=-12x^2y are x=0,x=-y/2 ;\quad y\ne 0

Find the zeros of solvefor x,6xy^2=-12x^2y

The zeros of solvefor x,6xy^2=-12x^2y are x=0,x=-y/2 ;\quad y\ne 0

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solve for

x, 6 x y^{2} = - 12 x^{2} y

x = 0, x = - \frac{y}{2}; y \neq = 0

Solution steps

6 x y^{2} = - 12 x^{2} y

Move

12 x^{2} y

to the left side

6 x y^{2} + 12 x^{2} y = 0

Factor

6 x y^{2} + 12 x^{2} y : 6 x y (y + 2 x)

6 x y (y + 2 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or y + 2 x = 0

Solve

y + 2 x = 0 : x = - \frac{y}{2}

The solutions to the quadratic equation are:

x = 0, x = - \frac{y}{2}; y \neq = 0

8 x^{2} + 6 x = 4

x, f (x - 2) = x^{2} - 3 x + 4

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

5 x^{2} - 9 x - 10 = 0

(4 x - 3)^{2} = (x + 2)^{2}

What are the solutions to the equation solvefor x,6xy^2=-12x^2y ?
The solutions to the equation solvefor x,6xy^2=-12x^2y are x=0,x=-y/2 ;\quad y\ne 0
Find the zeros of solvefor x,6xy^2=-12x^2y
The zeros of solvefor x,6xy^2=-12x^2y are x=0,x=-y/2 ;\quad y\ne 0