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Simplifying 10x + 10xy + 10y = 0 Solving 10x + 10xy + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 10x + 10xy + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 10x + 10xy + 0 = 0 + -10y 10x + 10xy = 0 + -10y Remove the zero: 10x + 10xy = -10y Combine like terms: -10y + 10y = 0 10x + 10xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(x + xy + y) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(x + xy + y)' equal to zero and attempt to solve: Simplifying x + xy + y = 0 Solving x + xy + 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 + xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + xy + 0 = 0 + -1y x + xy = 0 + -1y Remove the zero: x + xy = -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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