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Simplifying 2x + 3xy + 4 + 5xy + 6x = 0 Reorder the terms: 4 + 2x + 6x + 3xy + 5xy = 0 Combine like terms: 2x + 6x = 8x 4 + 8x + 3xy + 5xy = 0 Combine like terms: 3xy + 5xy = 8xy 4 + 8x + 8xy = 0 Solving 4 + 8x + 8xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + 8xy = 0 + -4 Reorder the terms: 4 + -4 + 8x + 8xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8x + 8xy = 0 + -4 8x + 8xy = 0 + -4 Combine like terms: 0 + -4 = -4 8x + 8xy = -4 Reorder the terms: 4 + 8x + 8xy = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 8x + 8xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2x + 2xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + 2x + 2xy)' equal to zero and attempt to solve: Simplifying 1 + 2x + 2xy = 0 Solving 1 + 2x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x + -1 + 2xy = 0 + -1 Reorder the terms: 1 + -1 + 2x + 2xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 2xy = 0 + -1 2x + 2xy = 0 + -1 Combine like terms: 0 + -1 = -1 2x + 2xy = -1 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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