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Simplifying 3dx = (2y3 + -8) * dy Reorder the terms: 3dx = (-8 + 2y3) * dy Reorder the terms for easier multiplication: 3dx = dy(-8 + 2y3) 3dx = (-8 * dy + 2y3 * dy) 3dx = (-8dy + 2dy4) Solving 3dx = -8dy + 2dy4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8dy' to each side of the equation. 3dx + 8dy = -8dy + 8dy + 2dy4 Combine like terms: -8dy + 8dy = 0 3dx + 8dy = 0 + 2dy4 3dx + 8dy = 2dy4 Add '-2dy4' to each side of the equation. 3dx + 8dy + -2dy4 = 2dy4 + -2dy4 Combine like terms: 2dy4 + -2dy4 = 0 3dx + 8dy + -2dy4 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(3x + 8y + -2y4) = 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 '(3x + 8y + -2y4)' equal to zero and attempt to solve: Simplifying 3x + 8y + -2y4 = 0 Solving 3x + 8y + -2y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + 8y + -3x + -2y4 = 0 + -3x Reorder the terms: 3x + -3x + 8y + -2y4 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 8y + -2y4 = 0 + -3x 8y + -2y4 = 0 + -3x Remove the zero: 8y + -2y4 = -3x Add '-8y' to each side of the equation. 8y + -8y + -2y4 = -3x + -8y Combine like terms: 8y + -8y = 0 0 + -2y4 = -3x + -8y -2y4 = -3x + -8y Add '2y4' to each side of the equation. -2y4 + 2y4 = -3x + -8y + 2y4 Combine like terms: -2y4 + 2y4 = 0 0 = -3x + -8y + 2y4 Simplifying 0 = -3x + -8y + 2y4 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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