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Simplifying 25z2 + -30z + 16 = 0 Reorder the terms: 16 + -30z + 25z2 = 0 Solving 16 + -30z + 25z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.64 + -1.2z + z2 = 0 Move the constant term to the right: Add '-0.64' to each side of the equation. 0.64 + -1.2z + -0.64 + z2 = 0 + -0.64 Reorder the terms: 0.64 + -0.64 + -1.2z + z2 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -1.2z + z2 = 0 + -0.64 -1.2z + z2 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 -1.2z + z2 = -0.64 The z term is -1.2z. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2z + 0.36 + z2 = -0.64 + 0.36 Reorder the terms: 0.36 + -1.2z + z2 = -0.64 + 0.36 Combine like terms: -0.64 + 0.36 = -0.28 0.36 + -1.2z + z2 = -0.28 Factor a perfect square on the left side: (z + -0.6)(z + -0.6) = -0.28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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