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Simplifying (2x + 4) * and(2x + -9) = 0 Reorder the terms: (4 + 2x) * and(2x + -9) = 0 Reorder the terms: (4 + 2x) * adn(-9 + 2x) = 0 Reorder the terms for easier multiplication: adn(4 + 2x)(-9 + 2x) = 0 Multiply (4 + 2x) * (-9 + 2x) adn(4(-9 + 2x) + 2x * (-9 + 2x)) = 0 adn((-9 * 4 + 2x * 4) + 2x * (-9 + 2x)) = 0 adn((-36 + 8x) + 2x * (-9 + 2x)) = 0 adn(-36 + 8x + (-9 * 2x + 2x * 2x)) = 0 adn(-36 + 8x + (-18x + 4x2)) = 0 Combine like terms: 8x + -18x = -10x adn(-36 + -10x + 4x2) = 0 (-36 * adn + -10x * adn + 4x2 * adn) = 0 (-36adn + -10adnx + 4adnx2) = 0 Solving -36adn + -10adnx + 4adnx2 = 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), '2adn'. 2adn(-18 + -5x + 2x2) = 0 Factor a trinomial. 2adn((-2 + -1x)(9 + -2x)) = 0 Ignore the factor 2.Subproblem 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Add 'x' to each side of the equation. -1x + x = 2 + x Combine like terms: -1x + x = 0 0 = 2 + x Simplifying 0 = 2 + x 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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Add '2x' to each side of the equation. -2x + 2x = -9 + 2x Combine like terms: -2x + 2x = 0 0 = -9 + 2x Simplifying 0 = -9 + 2x 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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