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Simplifying (4xy + 3y2 + -1x) * dx + x(x + 2y) * su = 0 Reorder the terms: (-1x + 4xy + 3y2) * dx + x(x + 2y) * su = 0 Reorder the terms for easier multiplication: dx(-1x + 4xy + 3y2) + x(x + 2y) * su = 0 (-1x * dx + 4xy * dx + 3y2 * dx) + x(x + 2y) * su = 0 Reorder the terms: (3dxy2 + -1dx2 + 4dx2y) + x(x + 2y) * su = 0 (3dxy2 + -1dx2 + 4dx2y) + x(x + 2y) * su = 0 Reorder the terms for easier multiplication: 3dxy2 + -1dx2 + 4dx2y + x * su(x + 2y) = 0 Multiply x * su 3dxy2 + -1dx2 + 4dx2y + sux(x + 2y) = 0 3dxy2 + -1dx2 + 4dx2y + (x * sux + 2y * sux) = 0 Reorder the terms: 3dxy2 + -1dx2 + 4dx2y + (2suxy + sux2) = 0 3dxy2 + -1dx2 + 4dx2y + (2suxy + sux2) = 0 Solving 3dxy2 + -1dx2 + 4dx2y + 2suxy + sux2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2suxy' to each side of the equation. 3dxy2 + -1dx2 + 4dx2y + 2suxy + -2suxy + sux2 = 0 + -2suxy Combine like terms: 2suxy + -2suxy = 0 3dxy2 + -1dx2 + 4dx2y + 0 + sux2 = 0 + -2suxy 3dxy2 + -1dx2 + 4dx2y + sux2 = 0 + -2suxy Remove the zero: 3dxy2 + -1dx2 + 4dx2y + sux2 = -2suxy Add '-1sux2' to each side of the equation. 3dxy2 + -1dx2 + 4dx2y + sux2 + -1sux2 = -2suxy + -1sux2 Combine like terms: sux2 + -1sux2 = 0 3dxy2 + -1dx2 + 4dx2y + 0 = -2suxy + -1sux2 3dxy2 + -1dx2 + 4dx2y = -2suxy + -1sux2 Reorder the terms: 3dxy2 + -1dx2 + 4dx2y + 2suxy + sux2 = -2suxy + 2suxy + -1sux2 + sux2 Combine like terms: -2suxy + 2suxy = 0 3dxy2 + -1dx2 + 4dx2y + 2suxy + sux2 = 0 + -1sux2 + sux2 3dxy2 + -1dx2 + 4dx2y + 2suxy + sux2 = -1sux2 + sux2 Combine like terms: -1sux2 + sux2 = 0 3dxy2 + -1dx2 + 4dx2y + 2suxy + sux2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3dy2 + -1dx + 4dxy + 2suy + sux) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(3dy2 + -1dx + 4dxy + 2suy + sux)' equal to zero and attempt to solve: Simplifying 3dy2 + -1dx + 4dxy + 2suy + sux = 0 Reorder the terms: -1dx + 4dxy + 3dy2 + sux + 2suy = 0 Solving -1dx + 4dxy + 3dy2 + sux + 2suy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1sux' to each side of the equation. -1dx + 4dxy + 3dy2 + sux + -1sux + 2suy = 0 + -1sux Combine like terms: sux + -1sux = 0 -1dx + 4dxy + 3dy2 + 0 + 2suy = 0 + -1sux -1dx + 4dxy + 3dy2 + 2suy = 0 + -1sux Remove the zero: -1dx + 4dxy + 3dy2 + 2suy = -1sux Add '-2suy' to each side of the equation. -1dx + 4dxy + 3dy2 + 2suy + -2suy = -1sux + -2suy Combine like terms: 2suy + -2suy = 0 -1dx + 4dxy + 3dy2 + 0 = -1sux + -2suy -1dx + 4dxy + 3dy2 = -1sux + -2suy 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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