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Simplifying (7x + -4y) * and(3x + -7y) = 0 Reorder the terms for easier multiplication: adn(7x + -4y)(3x + -7y) = 0 Multiply (7x + -4y) * (3x + -7y) adn(7x * (3x + -7y) + -4y * (3x + -7y)) = 0 adn((3x * 7x + -7y * 7x) + -4y * (3x + -7y)) = 0 Reorder the terms: adn((-49xy + 21x2) + -4y * (3x + -7y)) = 0 adn((-49xy + 21x2) + -4y * (3x + -7y)) = 0 adn(-49xy + 21x2 + (3x * -4y + -7y * -4y)) = 0 adn(-49xy + 21x2 + (-12xy + 28y2)) = 0 Reorder the terms: adn(-49xy + -12xy + 21x2 + 28y2) = 0 Combine like terms: -49xy + -12xy = -61xy adn(-61xy + 21x2 + 28y2) = 0 (-61xy * adn + 21x2 * adn + 28y2 * adn) = 0 (-61adnxy + 21adnx2 + 28adny2) = 0 Solving -61adnxy + 21adnx2 + 28adny2 = 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(-61xy + 21x2 + 28y2) = 0 Factor a trinomial. adn((3x + -7y)(7x + -4y)) = 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 '(3x + -7y)' equal to zero and attempt to solve: Simplifying 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -7y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -7y = 0 + -3x -7y = 0 + -3x Remove the zero: -7y = -3x Add '7y' to each side of the equation. -7y + 7y = -3x + 7y Combine like terms: -7y + 7y = 0 0 = -3x + 7y Simplifying 0 = -3x + 7y 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 '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing a to the left, all other terms to the right. Add '-7x' to each side of the equation. 7x + -7x + -4y = 0 + -7x Combine like terms: 7x + -7x = 0 0 + -4y = 0 + -7x -4y = 0 + -7x Remove the zero: -4y = -7x Add '4y' to each side of the equation. -4y + 4y = -7x + 4y Combine like terms: -4y + 4y = 0 0 = -7x + 4y Simplifying 0 = -7x + 4y 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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