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Simplifying z = -7 + -1z2 + -1z + -18 Reorder the terms: z = -7 + -18 + -1z + -1z2 Combine like terms: -7 + -18 = -25 z = -25 + -1z + -1z2 Solving z = -25 + -1z + -1z2 Solving for variable 'z'. Reorder the terms: 25 + z + z + z2 = -25 + -1z + -1z2 + 25 + z + z2 Combine like terms: z + z = 2z 25 + 2z + z2 = -25 + -1z + -1z2 + 25 + z + z2 Reorder the terms: 25 + 2z + z2 = -25 + 25 + -1z + z + -1z2 + z2 Combine like terms: -25 + 25 = 0 25 + 2z + z2 = 0 + -1z + z + -1z2 + z2 25 + 2z + z2 = -1z + z + -1z2 + z2 Combine like terms: -1z + z = 0 25 + 2z + z2 = 0 + -1z2 + z2 25 + 2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 25 + 2z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 2z + -25 + z2 = 0 + -25 Reorder the terms: 25 + -25 + 2z + z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2z + z2 = 0 + -25 2z + z2 = 0 + -25 Combine like terms: 0 + -25 = -25 2z + z2 = -25 The z term is 2z. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2z + 1 + z2 = -25 + 1 Reorder the terms: 1 + 2z + z2 = -25 + 1 Combine like terms: -25 + 1 = -24 1 + 2z + z2 = -24 Factor a perfect square on the left side: (z + 1)(z + 1) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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