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Simplifying Factor(x + 8)(x + -3) = 0 Reorder the terms: acortF(8 + x)(x + -3) = 0 Reorder the terms: acortF(8 + x)(-3 + x) = 0 Multiply (8 + x) * (-3 + x) acortF(8(-3 + x) + x(-3 + x)) = 0 acortF((-3 * 8 + x * 8) + x(-3 + x)) = 0 acortF((-24 + 8x) + x(-3 + x)) = 0 acortF(-24 + 8x + (-3 * x + x * x)) = 0 acortF(-24 + 8x + (-3x + x2)) = 0 Combine like terms: 8x + -3x = 5x acortF(-24 + 5x + x2) = 0 (-24 * acortF + 5x * acortF + x2 * acortF) = 0 (-24acortF + 5acortxF + acortx2F) = 0 Solving -24acortF + 5acortxF + acortx2F = 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), 'acortF'. acortF(-24 + 5x + x2) = 0 Factor a trinomial. acortF((-8 + -1x)(3 + -1x)) = 0Subproblem 1
Set the factor 'acortF' equal to zero and attempt to solve: Simplifying acortF = 0 Solving acortF = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acortF = 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 '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Add 'x' to each side of the equation. -1x + x = 8 + x Combine like terms: -1x + x = 0 0 = 8 + x Simplifying 0 = 8 + 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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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