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Simplifying 5z2 + 12z + 8 = 0 Reorder the terms: 8 + 12z + 5z2 = 0 Solving 8 + 12z + 5z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + 2.4z + z2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 2.4z + -1.6 + z2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 2.4z + z2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2.4z + z2 = 0 + -1.6 2.4z + z2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 2.4z + z2 = -1.6 The z term is 2.4z. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4z + 1.44 + z2 = -1.6 + 1.44 Reorder the terms: 1.44 + 2.4z + z2 = -1.6 + 1.44 Combine like terms: -1.6 + 1.44 = -0.16 1.44 + 2.4z + z2 = -0.16 Factor a perfect square on the left side: (z + 1.2)(z + 1.2) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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