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Simplifying 4z2 + 7z + 14 = 0 Reorder the terms: 14 + 7z + 4z2 = 0 Solving 14 + 7z + 4z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.5 + 1.75z + z2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 1.75z + -3.5 + z2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 1.75z + z2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1.75z + z2 = 0 + -3.5 1.75z + z2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 1.75z + z2 = -3.5 The z term is 1.75z. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75z + 0.765625 + z2 = -3.5 + 0.765625 Reorder the terms: 0.765625 + 1.75z + z2 = -3.5 + 0.765625 Combine like terms: -3.5 + 0.765625 = -2.734375 0.765625 + 1.75z + z2 = -2.734375 Factor a perfect square on the left side: (z + 0.875)(z + 0.875) = -2.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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