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Simplifying -1(3x2 + -3xy4) * dx = (y2 + -6x2y3) * dy Reorder the terms: -1(-3xy4 + 3x2) * dx = (y2 + -6x2y3) * dy Reorder the terms for easier multiplication: -1dx(-3xy4 + 3x2) = (y2 + -6x2y3) * dy (-3xy4 * -1dx + 3x2 * -1dx) = (y2 + -6x2y3) * dy (3dx2y4 + -3dx3) = (y2 + -6x2y3) * dy Reorder the terms: 3dx2y4 + -3dx3 = (-6x2y3 + y2) * dy Reorder the terms for easier multiplication: 3dx2y4 + -3dx3 = dy(-6x2y3 + y2) 3dx2y4 + -3dx3 = (-6x2y3 * dy + y2 * dy) 3dx2y4 + -3dx3 = (-6dx2y4 + dy3) Solving 3dx2y4 + -3dx3 = -6dx2y4 + dy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6dx2y4' to each side of the equation. 3dx2y4 + 6dx2y4 + -3dx3 = -6dx2y4 + 6dx2y4 + dy3 Combine like terms: 3dx2y4 + 6dx2y4 = 9dx2y4 9dx2y4 + -3dx3 = -6dx2y4 + 6dx2y4 + dy3 Combine like terms: -6dx2y4 + 6dx2y4 = 0 9dx2y4 + -3dx3 = 0 + dy3 9dx2y4 + -3dx3 = dy3 Add '-1dy3' to each side of the equation. 9dx2y4 + -3dx3 + -1dy3 = dy3 + -1dy3 Combine like terms: dy3 + -1dy3 = 0 9dx2y4 + -3dx3 + -1dy3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(9x2y4 + -3x3 + -1y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(9x2y4 + -3x3 + -1y3)' equal to zero and attempt to solve: Simplifying 9x2y4 + -3x3 + -1y3 = 0 Solving 9x2y4 + -3x3 + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-9x2y4' to each side of the equation. 9x2y4 + -3x3 + -9x2y4 + -1y3 = 0 + -9x2y4 Reorder the terms: 9x2y4 + -9x2y4 + -3x3 + -1y3 = 0 + -9x2y4 Combine like terms: 9x2y4 + -9x2y4 = 0 0 + -3x3 + -1y3 = 0 + -9x2y4 -3x3 + -1y3 = 0 + -9x2y4 Remove the zero: -3x3 + -1y3 = -9x2y4 Add '3x3' to each side of the equation. -3x3 + 3x3 + -1y3 = -9x2y4 + 3x3 Combine like terms: -3x3 + 3x3 = 0 0 + -1y3 = -9x2y4 + 3x3 -1y3 = -9x2y4 + 3x3 Add 'y3' to each side of the equation. -1y3 + y3 = -9x2y4 + 3x3 + y3 Combine like terms: -1y3 + y3 = 0 0 = -9x2y4 + 3x3 + y3 Simplifying 0 = -9x2y4 + 3x3 + y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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