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Simplifying (6x2y + 3xy + -4x2 + -2x) = 0 Reorder the terms: (-2x + 3xy + -4x2 + 6x2y) = 0 Remove parenthesis around (-2x + 3xy + -4x2 + 6x2y) -2x + 3xy + -4x2 + 6x2y = 0 Solving -2x + 3xy + -4x2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 3y + -4x + 6xy) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-2 + 3y + -4x + 6xy)' equal to zero and attempt to solve: Simplifying -2 + 3y + -4x + 6xy = 0 Reorder the terms: -2 + -4x + 6xy + 3y = 0 Solving -2 + -4x + 6xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4x + 6xy + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + -4x + 6xy + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4x + 6xy + 3y = 0 + 2 -4x + 6xy + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 -4x + 6xy + 3y = 2 Add '-3y' to each side of the equation. -4x + 6xy + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 -4x + 6xy + 0 = 2 + -3y -4x + 6xy = 2 + -3y 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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