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Simplifying 2y + 2x + 2 + -2(-24x + -2y + -23) * y = 0 Reorder the terms: 2y + 2x + 2 + -2(-23 + -24x + -2y) * y = 0 Reorder the terms for easier multiplication: 2y + 2x + 2 + -2y(-23 + -24x + -2y) = 0 2y + 2x + 2 + (-23 * -2y + -24x * -2y + -2y * -2y) = 0 Reorder the terms: 2y + 2x + 2 + (48xy + 46y + 4y2) = 0 2y + 2x + 2 + (48xy + 46y + 4y2) = 0 Reorder the terms: 2 + 2x + 48xy + 2y + 46y + 4y2 = 0 Combine like terms: 2y + 46y = 48y 2 + 2x + 48xy + 48y + 4y2 = 0 Solving 2 + 2x + 48xy + 48y + 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 + 48xy + 48y + -2 + 4y2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + 48xy + 48y + 4y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 48xy + 48y + 4y2 = 0 + -2 2x + 48xy + 48y + 4y2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + 48xy + 48y + 4y2 = -2 Add '-48y' to each side of the equation. 2x + 48xy + 48y + -48y + 4y2 = -2 + -48y Combine like terms: 48y + -48y = 0 2x + 48xy + 0 + 4y2 = -2 + -48y 2x + 48xy + 4y2 = -2 + -48y Add '-4y2' to each side of the equation. 2x + 48xy + 4y2 + -4y2 = -2 + -48y + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + 48xy + 0 = -2 + -48y + -4y2 2x + 48xy = -2 + -48y + -4y2 Reorder the terms: 2 + 2x + 48xy + 48y + 4y2 = -2 + -48y + -4y2 + 2 + 48y + 4y2 Reorder the terms: 2 + 2x + 48xy + 48y + 4y2 = -2 + 2 + -48y + 48y + -4y2 + 4y2 Combine like terms: -2 + 2 = 0 2 + 2x + 48xy + 48y + 4y2 = 0 + -48y + 48y + -4y2 + 4y2 2 + 2x + 48xy + 48y + 4y2 = -48y + 48y + -4y2 + 4y2 Combine like terms: -48y + 48y = 0 2 + 2x + 48xy + 48y + 4y2 = 0 + -4y2 + 4y2 2 + 2x + 48xy + 48y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 2 + 2x + 48xy + 48y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + x + 24xy + 24y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + x + 24xy + 24y + 2y2)' equal to zero and attempt to solve: Simplifying 1 + x + 24xy + 24y + 2y2 = 0 Solving 1 + x + 24xy + 24y + 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 + 24xy + 24y + -1 + 2y2 = 0 + -1 Reorder the terms: 1 + -1 + x + 24xy + 24y + 2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + 24xy + 24y + 2y2 = 0 + -1 x + 24xy + 24y + 2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + 24xy + 24y + 2y2 = -1 Add '-24y' to each side of the equation. x + 24xy + 24y + -24y + 2y2 = -1 + -24y Combine like terms: 24y + -24y = 0 x + 24xy + 0 + 2y2 = -1 + -24y x + 24xy + 2y2 = -1 + -24y Add '-2y2' to each side of the equation. x + 24xy + 2y2 + -2y2 = -1 + -24y + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + 24xy + 0 = -1 + -24y + -2y2 x + 24xy = -1 + -24y + -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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