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Simplifying 8 + -2x + -4y2 = -8xy Solving 8 + -2x + -4y2 = -8xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8xy' to each side of the equation. 8 + -2x + 8xy + -4y2 = -8xy + 8xy Combine like terms: -8xy + 8xy = 0 8 + -2x + 8xy + -4y2 = 0 Add '-8' to each side of the equation. 8 + -2x + 8xy + -8 + -4y2 = 0 + -8 Reorder the terms: 8 + -8 + -2x + 8xy + -4y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + 8xy + -4y2 = 0 + -8 -2x + 8xy + -4y2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + 8xy + -4y2 = -8 Add '4y2' to each side of the equation. -2x + 8xy + -4y2 + 4y2 = -8 + 4y2 Combine like terms: -4y2 + 4y2 = 0 -2x + 8xy + 0 = -8 + 4y2 -2x + 8xy = -8 + 4y2 Reorder the terms: 8 + -2x + 8xy + -4y2 = -8 + 4y2 + 8 + -4y2 Reorder the terms: 8 + -2x + 8xy + -4y2 = -8 + 8 + 4y2 + -4y2 Combine like terms: -8 + 8 = 0 8 + -2x + 8xy + -4y2 = 0 + 4y2 + -4y2 8 + -2x + 8xy + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 8 + -2x + 8xy + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1x + 4xy + -2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x + 4xy + -2y2)' equal to zero and attempt to solve: Simplifying 4 + -1x + 4xy + -2y2 = 0 Solving 4 + -1x + 4xy + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1x + 4xy + -4 + -2y2 = 0 + -4 Reorder the terms: 4 + -4 + -1x + 4xy + -2y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + 4xy + -2y2 = 0 + -4 -1x + 4xy + -2y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + 4xy + -2y2 = -4 Add '2y2' to each side of the equation. -1x + 4xy + -2y2 + 2y2 = -4 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -1x + 4xy + 0 = -4 + 2y2 -1x + 4xy = -4 + 2y2 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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