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Simplifying (x + 3) * day + (y + -2) * dx = 0 Reorder the terms: (3 + x) * day + (y + -2) * dx = 0 Reorder the terms for easier multiplication: ady(3 + x) + (y + -2) * dx = 0 (3 * ady + x * ady) + (y + -2) * dx = 0 Reorder the terms: (adxy + 3ady) + (y + -2) * dx = 0 (adxy + 3ady) + (y + -2) * dx = 0 Reorder the terms: adxy + 3ady + (-2 + y) * dx = 0 Reorder the terms for easier multiplication: adxy + 3ady + dx(-2 + y) = 0 adxy + 3ady + (-2 * dx + y * dx) = 0 adxy + 3ady + (-2dx + dxy) = 0 Solving adxy + 3ady + -2dx + dxy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2dx' to each side of the equation. adxy + 3ady + -2dx + 2dx + dxy = 0 + 2dx Combine like terms: -2dx + 2dx = 0 adxy + 3ady + 0 + dxy = 0 + 2dx adxy + 3ady + dxy = 0 + 2dx Remove the zero: adxy + 3ady + dxy = 2dx Add '-1dxy' to each side of the equation. adxy + 3ady + dxy + -1dxy = 2dx + -1dxy Combine like terms: dxy + -1dxy = 0 adxy + 3ady + 0 = 2dx + -1dxy adxy + 3ady = 2dx + -1dxy Reorder the terms: adxy + 3ady + -2dx + dxy = 2dx + -2dx + -1dxy + dxy Combine like terms: 2dx + -2dx = 0 adxy + 3ady + -2dx + dxy = 0 + -1dxy + dxy adxy + 3ady + -2dx + dxy = -1dxy + dxy Combine like terms: -1dxy + dxy = 0 adxy + 3ady + -2dx + dxy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(axy + 3ay + -2x + xy) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing a to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d = 0 + -1d Remove the zero: 0 = -1d Simplifying 0 = -1d 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 '(axy + 3ay + -2x + xy)' equal to zero and attempt to solve: Simplifying axy + 3ay + -2x + xy = 0 Solving axy + 3ay + -2x + xy = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. axy + 3ay + -2x + 2x + xy = 0 + 2x Combine like terms: -2x + 2x = 0 axy + 3ay + 0 + xy = 0 + 2x axy + 3ay + xy = 0 + 2x Remove the zero: axy + 3ay + xy = 2x Add '-1xy' to each side of the equation. axy + 3ay + xy + -1xy = 2x + -1xy Combine like terms: xy + -1xy = 0 axy + 3ay + 0 = 2x + -1xy axy + 3ay = 2x + -1xy 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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