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Simplifying (6xy) * dy + (4y + 9x2) * dy = 0 Remove parenthesis around (6xy) 6xy * dy + (4y + 9x2) * dy = 0 Multiply xy * dy 6dxy2 + (4y + 9x2) * dy = 0 Reorder the terms: 6dxy2 + (9x2 + 4y) * dy = 0 Reorder the terms for easier multiplication: 6dxy2 + dy(9x2 + 4y) = 0 6dxy2 + (9x2 * dy + 4y * dy) = 0 6dxy2 + (9dx2y + 4dy2) = 0 Solving 6dxy2 + 9dx2y + 4dy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(6xy + 9x2 + 4y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6xy + 9x2 + 4y)' equal to zero and attempt to solve: Simplifying 6xy + 9x2 + 4y = 0 Solving 6xy + 9x2 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '-6xy' to each side of the equation. 6xy + 9x2 + -6xy + 4y = 0 + -6xy Reorder the terms: 6xy + -6xy + 9x2 + 4y = 0 + -6xy Combine like terms: 6xy + -6xy = 0 0 + 9x2 + 4y = 0 + -6xy 9x2 + 4y = 0 + -6xy Remove the zero: 9x2 + 4y = -6xy Add '-9x2' to each side of the equation. 9x2 + -9x2 + 4y = -6xy + -9x2 Combine like terms: 9x2 + -9x2 = 0 0 + 4y = -6xy + -9x2 4y = -6xy + -9x2 Add '-4y' to each side of the equation. 4y + -4y = -6xy + -9x2 + -4y Combine like terms: 4y + -4y = 0 0 = -6xy + -9x2 + -4y Simplifying 0 = -6xy + -9x2 + -4y 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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