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Simplifying 2x + 4xy + 2y + 1 = 25 Reorder the terms: 1 + 2x + 4xy + 2y = 25 Solving 1 + 2x + 4xy + 2y = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x + 4xy + -1 + 2y = 25 + -1 Reorder the terms: 1 + -1 + 2x + 4xy + 2y = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 4xy + 2y = 25 + -1 2x + 4xy + 2y = 25 + -1 Combine like terms: 25 + -1 = 24 2x + 4xy + 2y = 24 Add '-2y' to each side of the equation. 2x + 4xy + 2y + -2y = 24 + -2y Combine like terms: 2y + -2y = 0 2x + 4xy + 0 = 24 + -2y 2x + 4xy = 24 + -2y Reorder the terms: -24 + 2x + 4xy + 2y = 24 + -2y + -24 + 2y Reorder the terms: -24 + 2x + 4xy + 2y = 24 + -24 + -2y + 2y Combine like terms: 24 + -24 = 0 -24 + 2x + 4xy + 2y = 0 + -2y + 2y -24 + 2x + 4xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -24 + 2x + 4xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + x + 2xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + x + 2xy + y)' equal to zero and attempt to solve: Simplifying -12 + x + 2xy + y = 0 Solving -12 + x + 2xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + x + 2xy + 12 + y = 0 + 12 Reorder the terms: -12 + 12 + x + 2xy + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x + 2xy + y = 0 + 12 x + 2xy + y = 0 + 12 Combine like terms: 0 + 12 = 12 x + 2xy + y = 12 Add '-1y' to each side of the equation. x + 2xy + y + -1y = 12 + -1y Combine like terms: y + -1y = 0 x + 2xy + 0 = 12 + -1y x + 2xy = 12 + -1y 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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