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Simplifying (2z + 8)(z + -3)(3z + 4) = 0 Reorder the terms: (8 + 2z)(z + -3)(3z + 4) = 0 Reorder the terms: (8 + 2z)(-3 + z)(3z + 4) = 0 Reorder the terms: (8 + 2z)(-3 + z)(4 + 3z) = 0 Multiply (8 + 2z) * (-3 + z) (8(-3 + z) + 2z * (-3 + z))(4 + 3z) = 0 ((-3 * 8 + z * 8) + 2z * (-3 + z))(4 + 3z) = 0 ((-24 + 8z) + 2z * (-3 + z))(4 + 3z) = 0 (-24 + 8z + (-3 * 2z + z * 2z))(4 + 3z) = 0 (-24 + 8z + (-6z + 2z2))(4 + 3z) = 0 Combine like terms: 8z + -6z = 2z (-24 + 2z + 2z2)(4 + 3z) = 0 Multiply (-24 + 2z + 2z2) * (4 + 3z) (-24(4 + 3z) + 2z * (4 + 3z) + 2z2 * (4 + 3z)) = 0 ((4 * -24 + 3z * -24) + 2z * (4 + 3z) + 2z2 * (4 + 3z)) = 0 ((-96 + -72z) + 2z * (4 + 3z) + 2z2 * (4 + 3z)) = 0 (-96 + -72z + (4 * 2z + 3z * 2z) + 2z2 * (4 + 3z)) = 0 (-96 + -72z + (8z + 6z2) + 2z2 * (4 + 3z)) = 0 (-96 + -72z + 8z + 6z2 + (4 * 2z2 + 3z * 2z2)) = 0 (-96 + -72z + 8z + 6z2 + (8z2 + 6z3)) = 0 Combine like terms: -72z + 8z = -64z (-96 + -64z + 6z2 + 8z2 + 6z3) = 0 Combine like terms: 6z2 + 8z2 = 14z2 (-96 + -64z + 14z2 + 6z3) = 0 Solving -96 + -64z + 14z2 + 6z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + -32z + 7z2 + 3z3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-48 + -32z + 7z2 + 3z3)' equal to zero and attempt to solve: Simplifying -48 + -32z + 7z2 + 3z3 = 0 Solving -48 + -32z + 7z2 + 3z3 = 0 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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