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Simplifying (12y2e2x + -1y) * dx = dy Reorder the terms for easier multiplication: dx(12e2xy2 + -1y) = dy (12e2xy2 * dx + -1y * dx) = dy (12de2x2y2 + -1dxy) = dy Solving 12de2x2y2 + -1dxy = dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dy' to each side of the equation. 12de2x2y2 + -1dxy + -1dy = dy + -1dy Combine like terms: dy + -1dy = 0 12de2x2y2 + -1dxy + -1dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(12e2x2y + -1x + -1) = 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 '(12e2x2y + -1x + -1)' equal to zero and attempt to solve: Simplifying 12e2x2y + -1x + -1 = 0 Reorder the terms: -1 + 12e2x2y + -1x = 0 Solving -1 + 12e2x2y + -1x = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12e2x2y + 1 + -1x = 0 + 1 Reorder the terms: -1 + 1 + 12e2x2y + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12e2x2y + -1x = 0 + 1 12e2x2y + -1x = 0 + 1 Combine like terms: 0 + 1 = 1 12e2x2y + -1x = 1 Add '-12e2x2y' to each side of the equation. 12e2x2y + -12e2x2y + -1x = 1 + -12e2x2y Combine like terms: 12e2x2y + -12e2x2y = 0 0 + -1x = 1 + -12e2x2y -1x = 1 + -12e2x2y Add 'x' to each side of the equation. -1x + x = 1 + -12e2x2y + x Combine like terms: -1x + x = 0 0 = 1 + -12e2x2y + x Simplifying 0 = 1 + -12e2x2y + x 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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