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Simplifying (2y) * ex + x[(x2) * lny + -1] * dy = 0 Remove parenthesis around (2y) 2y * ex + x[(x2) * lny + -1] * dy = 0 Multiply y * ex 2exy + x[(x2) * lny + -1] * dy = 0 Multiply x2 * lny 2exy + x[lnx2y + -1] * dy = 0 Reorder the terms: 2exy + x[-1 + lnx2y] * dy = 0 Reorder the terms for easier multiplication: 2exy + x * dy[-1 + lnx2y] = 0 Multiply x * dy 2exy + dxy[-1 + lnx2y] = 0 2exy + [-1 * dxy + lnx2y * dxy] = 0 Reorder the terms: 2exy + [dlnx3y2 + -1dxy] = 0 2exy + [dlnx3y2 + -1dxy] = 0 Reorder the terms: dlnx3y2 + -1dxy + 2exy = 0 Solving dlnx3y2 + -1dxy + 2exy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2exy' to each side of the equation. dlnx3y2 + -1dxy + 2exy + -2exy = 0 + -2exy Combine like terms: 2exy + -2exy = 0 dlnx3y2 + -1dxy + 0 = 0 + -2exy dlnx3y2 + -1dxy = 0 + -2exy Remove the zero: dlnx3y2 + -1dxy = -2exy Combine like terms: -2exy + 2exy = 0 dlnx3y2 + -1dxy + 2exy = 0 Factor out the Greatest Common Factor (GCF), 'xy'. xy(dlnx2y + -1d + 2e) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + -1xy = 0 + -1xy Remove the zero: 0 = -1xy Simplifying 0 = -1xy 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 '(dlnx2y + -1d + 2e)' equal to zero and attempt to solve: Simplifying dlnx2y + -1d + 2e = 0 Reorder the terms: -1d + dlnx2y + 2e = 0 Solving -1d + dlnx2y + 2e = 0 Move all terms containing d to the left, all other terms to the right. Add '-2e' to each side of the equation. -1d + dlnx2y + 2e + -2e = 0 + -2e Combine like terms: 2e + -2e = 0 -1d + dlnx2y + 0 = 0 + -2e -1d + dlnx2y = 0 + -2e Remove the zero: -1d + dlnx2y = -2e 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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