=2x-8xy

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Solution for =2x-8xy equation:


Simplifying
0 = 2x + -8xy

Solving
0 = 2x + -8xy

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0 + -2x = 2x + -2x + -8xy
Remove the zero:
-2x = 2x + -2x + -8xy

Combine like terms: 2x + -2x = 0
-2x = 0 + -8xy
-2x = -8xy

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

Combine like terms: -8xy + 8xy = 0
-2x + 8xy = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 4y) = 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 '(-1 + 4y)' equal to zero and attempt to solve: Simplifying -1 + 4y = 0 Solving -1 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4y = 0 + 1 4y = 0 + 1 Combine like terms: 0 + 1 = 1 4y = 1 Add '-4y' to each side of the equation. 4y + -4y = 1 + -4y Combine like terms: 4y + -4y = 0 0 = 1 + -4y Simplifying 0 = 1 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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