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