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Simplifying (x + 5) * and(2x + 3) = 0 Reorder the terms: (5 + x) * and(2x + 3) = 0 Reorder the terms: (5 + x) * adn(3 + 2x) = 0 Reorder the terms for easier multiplication: adn(5 + x)(3 + 2x) = 0 Multiply (5 + x) * (3 + 2x) adn(5(3 + 2x) + x(3 + 2x)) = 0 adn((3 * 5 + 2x * 5) + x(3 + 2x)) = 0 adn((15 + 10x) + x(3 + 2x)) = 0 adn(15 + 10x + (3 * x + 2x * x)) = 0 adn(15 + 10x + (3x + 2x2)) = 0 Combine like terms: 10x + 3x = 13x adn(15 + 13x + 2x2) = 0 (15 * adn + 13x * adn + 2x2 * adn) = 0 (15adn + 13adnx + 2adnx2) = 0 Solving 15adn + 13adnx + 2adnx2 = 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(15 + 13x + 2x2) = 0 Factor a trinomial. adn((5 + x)(3 + 2x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -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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