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Simplifying 2 + (16xy + 4y + -8x) = 32xy + 8y + -16x Reorder the terms: 2 + (-8x + 16xy + 4y) = 32xy + 8y + -16x Remove parenthesis around (-8x + 16xy + 4y) 2 + -8x + 16xy + 4y = 32xy + 8y + -16x Reorder the terms: 2 + -8x + 16xy + 4y = -16x + 32xy + 8y Solving 2 + -8x + 16xy + 4y = -16x + 32xy + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 2 + -8x + 16xy + 16x + 4y = -16x + 32xy + 16x + 8y Reorder the terms: 2 + -8x + 16x + 16xy + 4y = -16x + 32xy + 16x + 8y Combine like terms: -8x + 16x = 8x 2 + 8x + 16xy + 4y = -16x + 32xy + 16x + 8y Reorder the terms: 2 + 8x + 16xy + 4y = -16x + 16x + 32xy + 8y Combine like terms: -16x + 16x = 0 2 + 8x + 16xy + 4y = 0 + 32xy + 8y 2 + 8x + 16xy + 4y = 32xy + 8y Add '-32xy' to each side of the equation. 2 + 8x + 16xy + -32xy + 4y = 32xy + -32xy + 8y Combine like terms: 16xy + -32xy = -16xy 2 + 8x + -16xy + 4y = 32xy + -32xy + 8y Combine like terms: 32xy + -32xy = 0 2 + 8x + -16xy + 4y = 0 + 8y 2 + 8x + -16xy + 4y = 8y Add '-2' to each side of the equation. 2 + 8x + -16xy + -2 + 4y = -2 + 8y Reorder the terms: 2 + -2 + 8x + -16xy + 4y = -2 + 8y Combine like terms: 2 + -2 = 0 0 + 8x + -16xy + 4y = -2 + 8y 8x + -16xy + 4y = -2 + 8y Add '-4y' to each side of the equation. 8x + -16xy + 4y + -4y = -2 + 8y + -4y Combine like terms: 4y + -4y = 0 8x + -16xy + 0 = -2 + 8y + -4y 8x + -16xy = -2 + 8y + -4y Combine like terms: 8y + -4y = 4y 8x + -16xy = -2 + 4y Reorder the terms: 2 + 8x + -16xy + -4y = -2 + 4y + 2 + -4y Reorder the terms: 2 + 8x + -16xy + -4y = -2 + 2 + 4y + -4y Combine like terms: -2 + 2 = 0 2 + 8x + -16xy + -4y = 0 + 4y + -4y 2 + 8x + -16xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 2 + 8x + -16xy + -4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 4x + -8xy + -2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 4x + -8xy + -2y)' equal to zero and attempt to solve: Simplifying 1 + 4x + -8xy + -2y = 0 Solving 1 + 4x + -8xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x + -8xy + -1 + -2y = 0 + -1 Reorder the terms: 1 + -1 + 4x + -8xy + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x + -8xy + -2y = 0 + -1 4x + -8xy + -2y = 0 + -1 Combine like terms: 0 + -1 = -1 4x + -8xy + -2y = -1 Add '2y' to each side of the equation. 4x + -8xy + -2y + 2y = -1 + 2y Combine like terms: -2y + 2y = 0 4x + -8xy + 0 = -1 + 2y 4x + -8xy = -1 + 2y 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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