7(2x+2y)=28xy

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Solution for 7(2x+2y)=28xy equation:


Simplifying
7(2x + 2y) = 28xy
(2x * 7 + 2y * 7) = 28xy
(14x + 14y) = 28xy

Solving
14x + 14y = 28xy

Solving for variable 'x'.

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

Add '-28xy' to each side of the equation.
14x + -28xy + 14y = 28xy + -28xy

Combine like terms: 28xy + -28xy = 0
14x + -28xy + 14y = 0

Add '-14y' to each side of the equation.
14x + -28xy + 14y + -14y = 0 + -14y

Combine like terms: 14y + -14y = 0
14x + -28xy + 0 = 0 + -14y
14x + -28xy = 0 + -14y
Remove the zero:
14x + -28xy = -14y

Combine like terms: -14y + 14y = 0
14x + -28xy + 14y = 0

Factor out the Greatest Common Factor (GCF), '14'.
14(x + -2xy + y) = 0

Ignore the factor 14.

Subproblem 1

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

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