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