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Simplifying (-2x2y + xy) + (4x2y + 7xy) = 0 Reorder the terms: (xy + -2x2y) + (4x2y + 7xy) = 0 Remove parenthesis around (xy + -2x2y) xy + -2x2y + (4x2y + 7xy) = 0 Reorder the terms: xy + -2x2y + (7xy + 4x2y) = 0 Remove parenthesis around (7xy + 4x2y) xy + -2x2y + 7xy + 4x2y = 0 Reorder the terms: xy + 7xy + -2x2y + 4x2y = 0 Combine like terms: xy + 7xy = 8xy 8xy + -2x2y + 4x2y = 0 Combine like terms: -2x2y + 4x2y = 2x2y 8xy + 2x2y = 0 Solving 8xy + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(4 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4}
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