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Simplifying (5x2 + -3) * and(x2 + -4) = 0 Reorder the terms: (-3 + 5x2) * and(x2 + -4) = 0 Reorder the terms: (-3 + 5x2) * adn(-4 + x2) = 0 Reorder the terms for easier multiplication: adn(-3 + 5x2)(-4 + x2) = 0 Multiply (-3 + 5x2) * (-4 + x2) adn(-3(-4 + x2) + 5x2 * (-4 + x2)) = 0 adn((-4 * -3 + x2 * -3) + 5x2 * (-4 + x2)) = 0 adn((12 + -3x2) + 5x2 * (-4 + x2)) = 0 adn(12 + -3x2 + (-4 * 5x2 + x2 * 5x2)) = 0 adn(12 + -3x2 + (-20x2 + 5x4)) = 0 Combine like terms: -3x2 + -20x2 = -23x2 adn(12 + -23x2 + 5x4) = 0 (12 * adn + -23x2 * adn + 5x4 * adn) = 0 (12adn + -23adnx2 + 5adnx4) = 0 Solving 12adn + -23adnx2 + 5adnx4 = 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(12 + -23x2 + 5x4) = 0 Factor a trinomial. adn((3 + -5x2)(4 + -1x2)) = 0 Factor a difference between two squares. adn((3 + -5x2)((2 + x)(2 + -1x))) = 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 '(3 + -5x2)' equal to zero and attempt to solve: Simplifying 3 + -5x2 = 0 Solving 3 + -5x2 = 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 + -5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x2 = 0 + -3 -5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5x2 = -3 Add '5x2' to each side of the equation. -5x2 + 5x2 = -3 + 5x2 Combine like terms: -5x2 + 5x2 = 0 0 = -3 + 5x2 Simplifying 0 = -3 + 5x2 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
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. The solution to this equation could not be determined.
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