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Simplifying (12xy + 9y) + (-2y) + -1(4x + -3y) = 0 Remove parenthesis around (12xy + 9y) 12xy + 9y + (-2y) + -1(4x + -3y) = 0 12xy + 9y + (-2y) + (4x * -1 + -3y * -1) = 0 12xy + 9y + (-2y) + (-4x + 3y) = 0 Reorder the terms: -4x + 12xy + 9y + (-2y) + 3y = 0 Combine like terms: 9y + (-2y) = 7y -4x + 12xy + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -4x + 12xy + 10y = 0 Solving -4x + 12xy + 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. -4x + 12xy + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -4x + 12xy + 0 = 0 + -10y -4x + 12xy = 0 + -10y Remove the zero: -4x + 12xy = -10y Combine like terms: -10y + 10y = 0 -4x + 12xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2x + 6xy + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2x + 6xy + 5y)' equal to zero and attempt to solve: Simplifying -2x + 6xy + 5y = 0 Solving -2x + 6xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -2x + 6xy + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -2x + 6xy + 0 = 0 + -5y -2x + 6xy = 0 + -5y Remove the zero: -2x + 6xy = -5y 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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