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Simplifying 2y * dz = 3x * dy Multiply y * dz 2dyz = 3x * dy Multiply x * dy 2dyz = 3dxy Solving 2dyz = 3dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dxy' to each side of the equation. -3dxy + 2dyz = 3dxy + -3dxy Combine like terms: 3dxy + -3dxy = 0 -3dxy + 2dyz = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-3x + 2z) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-3x + 2z)' equal to zero and attempt to solve: Simplifying -3x + 2z = 0 Solving -3x + 2z = 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 + 2z = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 2z = 0 + 3x 2z = 0 + 3x Remove the zero: 2z = 3x Add '-2z' to each side of the equation. 2z + -2z = 3x + -2z Combine like terms: 2z + -2z = 0 0 = 3x + -2z Simplifying 0 = 3x + -2z 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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