(4y^2+x)(y^2-2x)=

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Solution for (4y^2+x)(y^2-2x)= equation: 


Simplifying
(4y2 + x)(y2 + -2x) = 0

Reorder the terms:
(x + 4y2)(y2 + -2x) = 0

Reorder the terms:
(x + 4y2)(-2x + y2) = 0

Multiply (x + 4y2) * (-2x + y2)
(x(-2x + y2) + 4y2 * (-2x + y2)) = 0
((-2x * x + y2 * x) + 4y2 * (-2x + y2)) = 0

Reorder the terms:
((xy2 + -2x2) + 4y2 * (-2x + y2)) = 0
((xy2 + -2x2) + 4y2 * (-2x + y2)) = 0
(xy2 + -2x2 + (-2x * 4y2 + y2 * 4y2)) = 0
(xy2 + -2x2 + (-8xy2 + 4y4)) = 0

Reorder the terms:
(xy2 + -8xy2 + -2x2 + 4y4) = 0

Combine like terms: xy2 + -8xy2 = -7xy2
(-7xy2 + -2x2 + 4y4) = 0

Solving
-7xy2 + -2x2 + 4y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1x + -4y2)(2x + -1y2) = 0


Subproblem 1
Set the factor '(-1x + -4y2)' equal to zero and attempt to solve:

Simplifying
-1x + -4y2 = 0

Solving
-1x + -4y2 = 0

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

Add '4y2' to each side of the equation.
-1x + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-1x + 0 = 0 + 4y2
-1x = 0 + 4y2
Remove the zero:
-1x = 4y2

Divide each side by '-1'.
x = -4y2

Simplifying
x = -4y2

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 = {-4y2, 0.5y2}

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