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Simplifying (x) * dy = (x7 + -6y) * dx Multiply x * dy dxy = (x7 + -6y) * dx Reorder the terms for easier multiplication: dxy = dx(x7 + -6y) dxy = (x7 * dx + -6y * dx) Reorder the terms: dxy = (-6dxy + dx8) dxy = (-6dxy + dx8) Solving dxy = -6dxy + dx8 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6dxy' to each side of the equation. dxy + 6dxy = -6dxy + 6dxy + dx8 Combine like terms: dxy + 6dxy = 7dxy 7dxy = -6dxy + 6dxy + dx8 Combine like terms: -6dxy + 6dxy = 0 7dxy = 0 + dx8 7dxy = dx8 Add '-1dx8' to each side of the equation. 7dxy + -1dx8 = dx8 + -1dx8 Combine like terms: dx8 + -1dx8 = 0 7dxy + -1dx8 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(7y + -1x7) = 0Subproblem 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 '(7y + -1x7)' equal to zero and attempt to solve: Simplifying 7y + -1x7 = 0 Reorder the terms: -1x7 + 7y = 0 Solving -1x7 + 7y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x7' to each side of the equation. -1x7 + x7 + 7y = 0 + x7 Combine like terms: -1x7 + x7 = 0 0 + 7y = 0 + x7 7y = 0 + x7 Remove the zero: 7y = x7 Add '-7y' to each side of the equation. 7y + -7y = x7 + -7y Combine like terms: 7y + -7y = 0 0 = x7 + -7y Simplifying 0 = x7 + -7y 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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