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Simplifying 2y + 2x + 2 + -2(-14x + -2y + -13) * y = 0 Reorder the terms: 2y + 2x + 2 + -2(-13 + -14x + -2y) * y = 0 Reorder the terms for easier multiplication: 2y + 2x + 2 + -2y(-13 + -14x + -2y) = 0 2y + 2x + 2 + (-13 * -2y + -14x * -2y + -2y * -2y) = 0 Reorder the terms: 2y + 2x + 2 + (28xy + 26y + 4y2) = 0 2y + 2x + 2 + (28xy + 26y + 4y2) = 0 Reorder the terms: 2 + 2x + 28xy + 2y + 26y + 4y2 = 0 Combine like terms: 2y + 26y = 28y 2 + 2x + 28xy + 28y + 4y2 = 0 Solving 2 + 2x + 28xy + 28y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + 28xy + 28y + -2 + 4y2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + 28xy + 28y + 4y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 28xy + 28y + 4y2 = 0 + -2 2x + 28xy + 28y + 4y2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + 28xy + 28y + 4y2 = -2 Add '-28y' to each side of the equation. 2x + 28xy + 28y + -28y + 4y2 = -2 + -28y Combine like terms: 28y + -28y = 0 2x + 28xy + 0 + 4y2 = -2 + -28y 2x + 28xy + 4y2 = -2 + -28y Add '-4y2' to each side of the equation. 2x + 28xy + 4y2 + -4y2 = -2 + -28y + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + 28xy + 0 = -2 + -28y + -4y2 2x + 28xy = -2 + -28y + -4y2 Reorder the terms: 2 + 2x + 28xy + 28y + 4y2 = -2 + -28y + -4y2 + 2 + 28y + 4y2 Reorder the terms: 2 + 2x + 28xy + 28y + 4y2 = -2 + 2 + -28y + 28y + -4y2 + 4y2 Combine like terms: -2 + 2 = 0 2 + 2x + 28xy + 28y + 4y2 = 0 + -28y + 28y + -4y2 + 4y2 2 + 2x + 28xy + 28y + 4y2 = -28y + 28y + -4y2 + 4y2 Combine like terms: -28y + 28y = 0 2 + 2x + 28xy + 28y + 4y2 = 0 + -4y2 + 4y2 2 + 2x + 28xy + 28y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 2 + 2x + 28xy + 28y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + x + 14xy + 14y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + x + 14xy + 14y + 2y2)' equal to zero and attempt to solve: Simplifying 1 + x + 14xy + 14y + 2y2 = 0 Solving 1 + x + 14xy + 14y + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + 14xy + 14y + -1 + 2y2 = 0 + -1 Reorder the terms: 1 + -1 + x + 14xy + 14y + 2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + 14xy + 14y + 2y2 = 0 + -1 x + 14xy + 14y + 2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + 14xy + 14y + 2y2 = -1 Add '-14y' to each side of the equation. x + 14xy + 14y + -14y + 2y2 = -1 + -14y Combine like terms: 14y + -14y = 0 x + 14xy + 0 + 2y2 = -1 + -14y x + 14xy + 2y2 = -1 + -14y Add '-2y2' to each side of the equation. x + 14xy + 2y2 + -2y2 = -1 + -14y + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + 14xy + 0 = -1 + -14y + -2y2 x + 14xy = -1 + -14y + -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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