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Simplifying -3z + 5 = -8z2 Reorder the terms: 5 + -3z = -8z2 Solving 5 + -3z = -8z2 Solving for variable 'z'. Combine like terms: -8z2 + 8z2 = 0 5 + -3z + 8z2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.375z + z2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.375z + -0.625 + z2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.375z + z2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.375z + z2 = 0 + -0.625 -0.375z + z2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.375z + z2 = -0.625 The z term is -0.375z. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375z + 0.03515625 + z2 = -0.625 + 0.03515625 Reorder the terms: 0.03515625 + -0.375z + z2 = -0.625 + 0.03515625 Combine like terms: -0.625 + 0.03515625 = -0.58984375 0.03515625 + -0.375z + z2 = -0.58984375 Factor a perfect square on the left side: (z + -0.1875)(z + -0.1875) = -0.58984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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