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Simplifying 3x * 8y + 2x + 2y = 0 Reorder the terms for easier multiplication: 3 * 8x * y + 2x + 2y = 0 Multiply 3 * 8 24x * y + 2x + 2y = 0 Multiply x * y 24xy + 2x + 2y = 0 Reorder the terms: 2x + 24xy + 2y = 0 Solving 2x + 24xy + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 2x + 24xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 2x + 24xy + 0 = 0 + -2y 2x + 24xy = 0 + -2y Remove the zero: 2x + 24xy = -2y Combine like terms: -2y + 2y = 0 2x + 24xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + 12xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + 12xy + y)' equal to zero and attempt to solve: Simplifying x + 12xy + y = 0 Solving x + 12xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + 12xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 12xy + 0 = 0 + -1y x + 12xy = 0 + -1y Remove the zero: x + 12xy = -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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