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Simplifying z2 + 1.2z + 0.45 = 0 Reorder the terms: 0.45 + 1.2z + z2 = 0 Solving 0.45 + 1.2z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-0.45' to each side of the equation. 0.45 + 1.2z + -0.45 + z2 = 0 + -0.45 Reorder the terms: 0.45 + -0.45 + 1.2z + z2 = 0 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + 1.2z + z2 = 0 + -0.45 1.2z + z2 = 0 + -0.45 Combine like terms: 0 + -0.45 = -0.45 1.2z + z2 = -0.45 The z term is 1.2z. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2z + 0.36 + z2 = -0.45 + 0.36 Reorder the terms: 0.36 + 1.2z + z2 = -0.45 + 0.36 Combine like terms: -0.45 + 0.36 = -0.09 0.36 + 1.2z + z2 = -0.09 Factor a perfect square on the left side: (z + 0.6)(z + 0.6) = -0.09 Can't calculate square root of the right side. The solution to this equation could not be determined.
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