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Simplifying z + 10 + z2 = -15 Reorder the terms: 10 + z + z2 = -15 Solving 10 + z + z2 = -15 Solving for variable 'z'. Reorder the terms: 10 + 15 + z + z2 = -15 + 15 Combine like terms: 10 + 15 = 25 25 + z + z2 = -15 + 15 Combine like terms: -15 + 15 = 0 25 + z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + z + -25 + z2 = 0 + -25 Reorder the terms: 25 + -25 + z + z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + z + z2 = 0 + -25 z + z2 = 0 + -25 Combine like terms: 0 + -25 = -25 z + z2 = -25 The z term is z. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. z + 0.25 + z2 = -25 + 0.25 Reorder the terms: 0.25 + z + z2 = -25 + 0.25 Combine like terms: -25 + 0.25 = -24.75 0.25 + z + z2 = -24.75 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = -24.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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