2x(2x+y-4)=

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


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

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

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

Solving
-8x + 2xy + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + y + 2x) = 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 '(-4 + y + 2x)' equal to zero and attempt to solve:

Simplifying
-4 + y + 2x = 0

Reorder the terms:
-4 + 2x + y = 0

Solving
-4 + 2x + y = 0

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

Add '4' to each side of the equation.
-4 + 2x + 4 + y = 0 + 4

Reorder the terms:
-4 + 4 + 2x + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x + y = 0 + 4
2x + y = 0 + 4

Combine like terms: 0 + 4 = 4
2x + y = 4

Add '-1y' to each side of the equation.
2x + y + -1y = 4 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 4 + -1y
2x = 4 + -1y

Divide each side by '2'.
x = 2 + -0.5y

Simplifying
x = 2 + -0.5y
Solution
x = {0, 2 + -0.5y}

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