(2x-y^2)(x-y^2)=

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Solution for (2x-y^2)(x-y^2)= equation: 


Simplifying
(2x + -1y2)(x + -1y2) = 0

Multiply (2x + -1y2) * (x + -1y2)
(2x * (x + -1y2) + -1y2 * (x + -1y2)) = 0
((x * 2x + -1y2 * 2x) + -1y2 * (x + -1y2)) = 0

Reorder the terms:
((-2xy2 + 2x2) + -1y2 * (x + -1y2)) = 0
((-2xy2 + 2x2) + -1y2 * (x + -1y2)) = 0
(-2xy2 + 2x2 + (x * -1y2 + -1y2 * -1y2)) = 0
(-2xy2 + 2x2 + (-1xy2 + 1y4)) = 0

Reorder the terms:
(-2xy2 + -1xy2 + 2x2 + 1y4) = 0

Combine like terms: -2xy2 + -1xy2 = -3xy2
(-3xy2 + 2x2 + 1y4) = 0

Solving
-3xy2 + 2x2 + 1y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y2)(2x + -1y2) = 0


Subproblem 1
Set the factor '(x + -1y2)' equal to zero and attempt to solve:

Simplifying
x + -1y2 = 0

Solving
x + -1y2 = 0

Move all terms containing x to the left, all other terms to the right.

Add 'y2' to each side of the equation.
x + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
x + 0 = 0 + y2
x = 0 + y2
Remove the zero:
x = y2

Simplifying
x = y2

Subproblem 2
Set the factor '(2x + -1y2)' equal to zero and attempt to solve:

Simplifying
2x + -1y2 = 0

Solving
2x + -1y2 = 0

Move all terms containing x to the left, all other terms to the right.

Add 'y2' to each side of the equation.
2x + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
2x + 0 = 0 + y2
2x = 0 + y2
Remove the zero:
2x = y2

Divide each side by '2'.
x = 0.5y2

Simplifying
x = 0.5y2
Solution
x = {y2, 0.5y2}

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