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Simplifying z2 + -4z + 10 = z Reorder the terms: 10 + -4z + z2 = z Solving 10 + -4z + z2 = z Solving for variable 'z'. Reorder the terms: 10 + -4z + -1z + z2 = z + -1z Combine like terms: -4z + -1z = -5z 10 + -5z + z2 = z + -1z Combine like terms: z + -1z = 0 10 + -5z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5z + -10 + z2 = 0 + -10 Reorder the terms: 10 + -10 + -5z + z2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5z + z2 = 0 + -10 -5z + z2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5z + z2 = -10 The z term is -5z. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5z + 6.25 + z2 = -10 + 6.25 Reorder the terms: 6.25 + -5z + z2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5z + z2 = -3.75 Factor a perfect square on the left side: (z + -2.5)(z + -2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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