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Simplifying (4x + -25) * and(2x + 5) = 0 Reorder the terms: (-25 + 4x) * and(2x + 5) = 0 Reorder the terms: (-25 + 4x) * adn(5 + 2x) = 0 Reorder the terms for easier multiplication: adn(-25 + 4x)(5 + 2x) = 0 Multiply (-25 + 4x) * (5 + 2x) adn(-25(5 + 2x) + 4x * (5 + 2x)) = 0 adn((5 * -25 + 2x * -25) + 4x * (5 + 2x)) = 0 adn((-125 + -50x) + 4x * (5 + 2x)) = 0 adn(-125 + -50x + (5 * 4x + 2x * 4x)) = 0 adn(-125 + -50x + (20x + 8x2)) = 0 Combine like terms: -50x + 20x = -30x adn(-125 + -30x + 8x2) = 0 (-125 * adn + -30x * adn + 8x2 * adn) = 0 (-125adn + -30adnx + 8adnx2) = 0 Solving -125adn + -30adnx + 8adnx2 = 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(-125 + -30x + 8x2) = 0 Factor a trinomial. adn((-5 + -2x)(25 + -4x)) = 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 '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Add '2x' to each side of the equation. -2x + 2x = 5 + 2x Combine like terms: -2x + 2x = 0 0 = 5 + 2x Simplifying 0 = 5 + 2x 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 '(25 + -4x)' equal to zero and attempt to solve: Simplifying 25 + -4x = 0 Solving 25 + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 0 + -25 -4x = 0 + -25 Combine like terms: 0 + -25 = -25 -4x = -25 Add '4x' to each side of the equation. -4x + 4x = -25 + 4x Combine like terms: -4x + 4x = 0 0 = -25 + 4x Simplifying 0 = -25 + 4x 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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