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Simplifying (2y3 + 4xy + 2x3) * dx = 0 Reorder the terms: (4xy + 2x3 + 2y3) * dx = 0 Reorder the terms for easier multiplication: dx(4xy + 2x3 + 2y3) = 0 (4xy * dx + 2x3 * dx + 2y3 * dx) = 0 Reorder the terms: (2dxy3 + 4dx2y + 2dx4) = 0 (2dxy3 + 4dx2y + 2dx4) = 0 Solving 2dxy3 + 4dx2y + 2dx4 = 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), '2dx'. 2dx(y3 + 2xy + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(y3 + 2xy + x3)' equal to zero and attempt to solve: Simplifying y3 + 2xy + x3 = 0 Reorder the terms: 2xy + x3 + y3 = 0 Solving 2xy + x3 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2xy' to each side of the equation. 2xy + x3 + -2xy + y3 = 0 + -2xy Reorder the terms: 2xy + -2xy + x3 + y3 = 0 + -2xy Combine like terms: 2xy + -2xy = 0 0 + x3 + y3 = 0 + -2xy x3 + y3 = 0 + -2xy Remove the zero: x3 + y3 = -2xy Add '-1x3' to each side of the equation. x3 + -1x3 + y3 = -2xy + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y3 = -2xy + -1x3 y3 = -2xy + -1x3 Add '-1y3' to each side of the equation. y3 + -1y3 = -2xy + -1x3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -2xy + -1x3 + -1y3 Simplifying 0 = -2xy + -1x3 + -1y3 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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