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Simplifying 5z2 + 14z + 49 = 0 Reorder the terms: 49 + 14z + 5z2 = 0 Solving 49 + 14z + 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'. 9.8 + 2.8z + z2 = 0 Move the constant term to the right: Add '-9.8' to each side of the equation. 9.8 + 2.8z + -9.8 + z2 = 0 + -9.8 Reorder the terms: 9.8 + -9.8 + 2.8z + z2 = 0 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + 2.8z + z2 = 0 + -9.8 2.8z + z2 = 0 + -9.8 Combine like terms: 0 + -9.8 = -9.8 2.8z + z2 = -9.8 The z term is 2.8z. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8z + 1.96 + z2 = -9.8 + 1.96 Reorder the terms: 1.96 + 2.8z + z2 = -9.8 + 1.96 Combine like terms: -9.8 + 1.96 = -7.84 1.96 + 2.8z + z2 = -7.84 Factor a perfect square on the left side: (z + 1.4)(z + 1.4) = -7.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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