xy=x+(7xy)

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Solution for xy=x+(7xy) equation:


Simplifying
xy = x + (7xy)

Solving
xy = x + (7xy)

Solving for variable 'x'.

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

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

Combine like terms: x + -1x = 0
-1x + xy = 0 + (7xy)
-1x + xy = (7xy)

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

Combine like terms: xy + (-7xy) = -6xy
-1x + -6xy = (7xy) + (-7xy)

Combine like terms: (7xy) + (-7xy) = 0
-1x + -6xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 6y) = 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 '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 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 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Add '-6y' to each side of the equation. 6y + -6y = -1 + -6y Combine like terms: 6y + -6y = 0 0 = -1 + -6y Simplifying 0 = -1 + -6y 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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