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Simplifying Z2 + -2z + -48 = (z + -8)(z + 3) Reorder the terms: -48 + Z2 + -2z = (z + -8)(z + 3) Reorder the terms: -48 + Z2 + -2z = (-8 + z)(z + 3) Reorder the terms: -48 + Z2 + -2z = (-8 + z)(3 + z) Multiply (-8 + z) * (3 + z) -48 + Z2 + -2z = (-8(3 + z) + z(3 + z)) -48 + Z2 + -2z = ((3 * -8 + z * -8) + z(3 + z)) -48 + Z2 + -2z = ((-24 + -8z) + z(3 + z)) -48 + Z2 + -2z = (-24 + -8z + (3 * z + z * z)) -48 + Z2 + -2z = (-24 + -8z + (3z + z2)) Combine like terms: -8z + 3z = -5z -48 + Z2 + -2z = (-24 + -5z + z2) Solving -48 + Z2 + -2z = -24 + -5z + z2 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + Z2 + 48 + -2z = -24 + -5z + 48 + z2 Reorder the terms: -48 + 48 + Z2 + -2z = -24 + -5z + 48 + z2 Combine like terms: -48 + 48 = 0 0 + Z2 + -2z = -24 + -5z + 48 + z2 Z2 + -2z = -24 + -5z + 48 + z2 Reorder the terms: Z2 + -2z = -24 + 48 + -5z + z2 Combine like terms: -24 + 48 = 24 Z2 + -2z = 24 + -5z + z2 Add '2z' to each side of the equation. Z2 + -2z + 2z = 24 + -5z + 2z + z2 Combine like terms: -2z + 2z = 0 Z2 + 0 = 24 + -5z + 2z + z2 Z2 = 24 + -5z + 2z + z2 Combine like terms: -5z + 2z = -3z Z2 = 24 + -3z + z2 Simplifying Z2 = 24 + -3z + z2 Reorder the terms: -24 + Z2 + 3z + -1z2 = 24 + -3z + z2 + -24 + 3z + -1z2 Reorder the terms: -24 + Z2 + 3z + -1z2 = 24 + -24 + -3z + 3z + z2 + -1z2 Combine like terms: 24 + -24 = 0 -24 + Z2 + 3z + -1z2 = 0 + -3z + 3z + z2 + -1z2 -24 + Z2 + 3z + -1z2 = -3z + 3z + z2 + -1z2 Combine like terms: -3z + 3z = 0 -24 + Z2 + 3z + -1z2 = 0 + z2 + -1z2 -24 + Z2 + 3z + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -24 + Z2 + 3z + -1z2 = 0 The solution to this equation could not be determined.
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