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