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Simplifying 6dx = 4dy Solving 6dx = 4dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dy' to each side of the equation. 6dx + -4dy = 4dy + -4dy Combine like terms: 4dy + -4dy = 0 6dx + -4dy = 0 Factor out the Greatest Common Factor (GCF), '2d'. 2d(3x + -2y) = 0 Ignore the factor 2.Subproblem 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 + -2y)' equal to zero and attempt to solve: Simplifying 3x + -2y = 0 Solving 3x + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -2y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -2y = 0 + -3x -2y = 0 + -3x Remove the zero: -2y = -3x Add '2y' to each side of the equation. -2y + 2y = -3x + 2y Combine like terms: -2y + 2y = 0 0 = -3x + 2y Simplifying 0 = -3x + 2y 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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