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Simplifying z2 = -8z + -19 Reorder the terms: z2 = -19 + -8z Solving z2 = -19 + -8z Solving for variable 'z'. Reorder the terms: 19 + 8z + z2 = -19 + -8z + 19 + 8z Reorder the terms: 19 + 8z + z2 = -19 + 19 + -8z + 8z Combine like terms: -19 + 19 = 0 19 + 8z + z2 = 0 + -8z + 8z 19 + 8z + z2 = -8z + 8z Combine like terms: -8z + 8z = 0 19 + 8z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 8z + -19 + z2 = 0 + -19 Reorder the terms: 19 + -19 + 8z + z2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8z + z2 = 0 + -19 8z + z2 = 0 + -19 Combine like terms: 0 + -19 = -19 8z + z2 = -19 The z term is 8z. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8z + 16 + z2 = -19 + 16 Reorder the terms: 16 + 8z + z2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + 8z + z2 = -3 Factor a perfect square on the left side: (z + 4)(z + 4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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