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Simplifying (2x + -5y) * and(x + y) = 0 Reorder the terms for easier multiplication: adn(2x + -5y)(x + y) = 0 Multiply (2x + -5y) * (x + y) adn(2x * (x + y) + -5y * (x + y)) = 0 adn((x * 2x + y * 2x) + -5y * (x + y)) = 0 Reorder the terms: adn((2xy + 2x2) + -5y * (x + y)) = 0 adn((2xy + 2x2) + -5y * (x + y)) = 0 adn(2xy + 2x2 + (x * -5y + y * -5y)) = 0 adn(2xy + 2x2 + (-5xy + -5y2)) = 0 Reorder the terms: adn(2xy + -5xy + 2x2 + -5y2) = 0 Combine like terms: 2xy + -5xy = -3xy adn(-3xy + 2x2 + -5y2) = 0 (-3xy * adn + 2x2 * adn + -5y2 * adn) = 0 (-3adnxy + 2adnx2 + -5adny2) = 0 Solving -3adnxy + 2adnx2 + -5adny2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'adn'. adn(-3xy + 2x2 + -5y2) = 0 Factor a trinomial. adn((2x + -5y)(x + y)) = 0Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve: Simplifying adn = 0 Solving adn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adn = 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 '(2x + -5y)' equal to zero and attempt to solve: Simplifying 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -5y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -5y = 0 + -2x -5y = 0 + -2x Remove the zero: -5y = -2x Add '5y' to each side of the equation. -5y + 5y = -2x + 5y Combine like terms: -5y + 5y = 0 0 = -2x + 5y Simplifying 0 = -2x + 5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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