4(xy^2-2x^2)+6x^2=

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Solution for 4(xy^2-2x^2)+6x^2= equation: 


Simplifying
4(xy2 + -2x2) + 6x2 = 0
(xy2 * 4 + -2x2 * 4) + 6x2 = 0
(4xy2 + -8x2) + 6x2 = 0

Combine like terms: -8x2 + 6x2 = -2x2
4xy2 + -2x2 = 0

Solving
4xy2 + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2y2 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2y2 + -1x = 0

Reorder the terms:
-1x + 2y2 = 0

Solving
-1x + 2y2 = 0

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

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

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

Divide each side by '-1'.
x = 2y2

Simplifying
x = 2y2
Solution
x = {0, 2y2}

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