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Simplifying z2 + 12z + 48 = 0 Reorder the terms: 48 + 12z + z2 = 0 Solving 48 + 12z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 12z + -48 + z2 = 0 + -48 Reorder the terms: 48 + -48 + 12z + z2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12z + z2 = 0 + -48 12z + z2 = 0 + -48 Combine like terms: 0 + -48 = -48 12z + z2 = -48 The z term is 12z. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12z + 36 + z2 = -48 + 36 Reorder the terms: 36 + 12z + z2 = -48 + 36 Combine like terms: -48 + 36 = -12 36 + 12z + z2 = -12 Factor a perfect square on the left side: (z + 6)(z + 6) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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