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