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Simplifying z2 + 0.04z + 0.25 = 0 Reorder the terms: 0.25 + 0.04z + z2 = 0 Solving 0.25 + 0.04z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.04z + -0.25 + z2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.04z + z2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.04z + z2 = 0 + -0.25 0.04z + z2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.04z + z2 = -0.25 The z term is 0.04z. Take half its coefficient (0.02). Square it (0.0004) and add it to both sides. Add '0.0004' to each side of the equation. 0.04z + 0.0004 + z2 = -0.25 + 0.0004 Reorder the terms: 0.0004 + 0.04z + z2 = -0.25 + 0.0004 Combine like terms: -0.25 + 0.0004 = -0.2496 0.0004 + 0.04z + z2 = -0.2496 Factor a perfect square on the left side: (z + 0.02)(z + 0.02) = -0.2496 Can't calculate square root of the right side. The solution to this equation could not be determined.
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