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Simplifying (4xy2) * dx + (6y3 + -1x) * dy = 0 Remove parenthesis around (4xy2) 4xy2 * dx + (6y3 + -1x) * dy = 0 Multiply xy2 * dx 4dx2y2 + (6y3 + -1x) * dy = 0 Reorder the terms: 4dx2y2 + (-1x + 6y3) * dy = 0 Reorder the terms for easier multiplication: 4dx2y2 + dy(-1x + 6y3) = 0 4dx2y2 + (-1x * dy + 6y3 * dy) = 0 4dx2y2 + (-1dxy + 6dy4) = 0 Reorder the terms: -1dxy + 4dx2y2 + 6dy4 = 0 Solving -1dxy + 4dx2y2 + 6dy4 = 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(-1x + 4x2y + 6y3) = 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 '(-1x + 4x2y + 6y3)' equal to zero and attempt to solve: Simplifying -1x + 4x2y + 6y3 = 0 Solving -1x + 4x2y + 6y3 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 4x2y + x + 6y3 = 0 + x Reorder the terms: -1x + x + 4x2y + 6y3 = 0 + x Combine like terms: -1x + x = 0 0 + 4x2y + 6y3 = 0 + x 4x2y + 6y3 = 0 + x Remove the zero: 4x2y + 6y3 = x Add '-4x2y' to each side of the equation. 4x2y + -4x2y + 6y3 = x + -4x2y Combine like terms: 4x2y + -4x2y = 0 0 + 6y3 = x + -4x2y 6y3 = x + -4x2y Add '-6y3' to each side of the equation. 6y3 + -6y3 = x + -4x2y + -6y3 Combine like terms: 6y3 + -6y3 = 0 0 = x + -4x2y + -6y3 Simplifying 0 = x + -4x2y + -6y3 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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