2x(8x-6y)-8xy+2x(y-2)=

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Solution for 2x(8x-6y)-8xy+2x(y-2)= equation: 


Simplifying
2x(8x + -6y) + -8xy + 2x(y + -2) = 0
(8x * 2x + -6y * 2x) + -8xy + 2x(y + -2) = 0

Reorder the terms:
(-12xy + 16x2) + -8xy + 2x(y + -2) = 0
(-12xy + 16x2) + -8xy + 2x(y + -2) = 0

Reorder the terms:
-12xy + 16x2 + -8xy + 2x(-2 + y) = 0
-12xy + 16x2 + -8xy + (-2 * 2x + y * 2x) = 0
-12xy + 16x2 + -8xy + (-4x + 2xy) = 0

Reorder the terms:
-4x + -12xy + -8xy + 2xy + 16x2 = 0

Combine like terms: -12xy + -8xy = -20xy
-4x + -20xy + 2xy + 16x2 = 0

Combine like terms: -20xy + 2xy = -18xy
-4x + -18xy + 16x2 = 0

Solving
-4x + -18xy + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2 + -9y + 8x) = 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 '(-2 + -9y + 8x)' equal to zero and attempt to solve:

Simplifying
-2 + -9y + 8x = 0

Reorder the terms:
-2 + 8x + -9y = 0

Solving
-2 + 8x + -9y = 0

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

Add '2' to each side of the equation.
-2 + 8x + 2 + -9y = 0 + 2

Reorder the terms:
-2 + 2 + 8x + -9y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8x + -9y = 0 + 2
8x + -9y = 0 + 2

Combine like terms: 0 + 2 = 2
8x + -9y = 2

Add '9y' to each side of the equation.
8x + -9y + 9y = 2 + 9y

Combine like terms: -9y + 9y = 0
8x + 0 = 2 + 9y
8x = 2 + 9y

Divide each side by '8'.
x = 0.25 + 1.125y

Simplifying
x = 0.25 + 1.125y
Solution
x = {0, 0.25 + 1.125y}

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