-2x-xy=x+7forx

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Solution for -2x-xy=x+7forx equation:


Simplifying
-2x + -1xy = x + 7forx

Reorder the terms:
-2x + -1xy = 7forx + x

Solving
-2x + -1xy = 7forx + x

Solving for variable 'x'.

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

Add '-7forx' to each side of the equation.
-2x + -7forx + -1xy = 7forx + -7forx + x

Reorder the terms:
-7forx + -2x + -1xy = 7forx + -7forx + x

Combine like terms: 7forx + -7forx = 0
-7forx + -2x + -1xy = 0 + x
-7forx + -2x + -1xy = x

Add '-1x' to each side of the equation.
-7forx + -2x + -1x + -1xy = x + -1x

Combine like terms: -2x + -1x = -3x
-7forx + -3x + -1xy = x + -1x

Combine like terms: x + -1x = 0
-7forx + -3x + -1xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7for + 3 + y) = 0

Ignore the factor -1.

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 '(7for + 3 + y)' equal to zero and attempt to solve: Simplifying 7for + 3 + y = 0 Reorder the terms: 3 + 7for + y = 0 Solving 3 + 7for + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7for + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + 7for + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7for + y = 0 + -3 7for + y = 0 + -3 Combine like terms: 0 + -3 = -3 7for + y = -3 Add '-7for' to each side of the equation. 7for + -7for + y = -3 + -7for Combine like terms: 7for + -7for = 0 0 + y = -3 + -7for y = -3 + -7for Add '-1y' to each side of the equation. y + -1y = -3 + -7for + -1y Combine like terms: y + -1y = 0 0 = -3 + -7for + -1y Simplifying 0 = -3 + -7for + -1y 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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