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Simplifying a(y + -1) * dy + (x + -3) * dx = 0 Reorder the terms: a(-1 + y) * dy + (x + -3) * dx = 0 Reorder the terms for easier multiplication: a * dy(-1 + y) + (x + -3) * dx = 0 Multiply a * dy ady(-1 + y) + (x + -3) * dx = 0 (-1 * ady + y * ady) + (x + -3) * dx = 0 (-1ady + ady2) + (x + -3) * dx = 0 Reorder the terms: -1ady + ady2 + (-3 + x) * dx = 0 Reorder the terms for easier multiplication: -1ady + ady2 + dx(-3 + x) = 0 -1ady + ady2 + (-3 * dx + x * dx) = 0 -1ady + ady2 + (-3dx + dx2) = 0 Solving -1ady + ady2 + -3dx + dx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3dx' to each side of the equation. -1ady + ady2 + -3dx + 3dx + dx2 = 0 + 3dx Combine like terms: -3dx + 3dx = 0 -1ady + ady2 + 0 + dx2 = 0 + 3dx -1ady + ady2 + dx2 = 0 + 3dx Remove the zero: -1ady + ady2 + dx2 = 3dx Add '-1dx2' to each side of the equation. -1ady + ady2 + dx2 + -1dx2 = 3dx + -1dx2 Combine like terms: dx2 + -1dx2 = 0 -1ady + ady2 + 0 = 3dx + -1dx2 -1ady + ady2 = 3dx + -1dx2 Reorder the terms: -1ady + ady2 + -3dx + dx2 = 3dx + -3dx + -1dx2 + dx2 Combine like terms: 3dx + -3dx = 0 -1ady + ady2 + -3dx + dx2 = 0 + -1dx2 + dx2 -1ady + ady2 + -3dx + dx2 = -1dx2 + dx2 Combine like terms: -1dx2 + dx2 = 0 -1ady + ady2 + -3dx + dx2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-1ay + ay2 + -3x + x2) = 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 '(-1ay + ay2 + -3x + x2)' equal to zero and attempt to solve: Simplifying -1ay + ay2 + -3x + x2 = 0 Solving -1ay + ay2 + -3x + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3x' to each side of the equation. -1ay + ay2 + -3x + 3x + x2 = 0 + 3x Combine like terms: -3x + 3x = 0 -1ay + ay2 + 0 + x2 = 0 + 3x -1ay + ay2 + x2 = 0 + 3x Remove the zero: -1ay + ay2 + x2 = 3x Add '-1x2' to each side of the equation. -1ay + ay2 + x2 + -1x2 = 3x + -1x2 Combine like terms: x2 + -1x2 = 0 -1ay + ay2 + 0 = 3x + -1x2 -1ay + ay2 = 3x + -1x2 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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