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Simplifying 65s2 + 59s + 75 = 0 Reorder the terms: 75 + 59s + 65s2 = 0 Solving 75 + 59s + 65s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. 1.153846154 + 0.9076923077s + s2 = 0 Move the constant term to the right: Add '-1.153846154' to each side of the equation. 1.153846154 + 0.9076923077s + -1.153846154 + s2 = 0 + -1.153846154 Reorder the terms: 1.153846154 + -1.153846154 + 0.9076923077s + s2 = 0 + -1.153846154 Combine like terms: 1.153846154 + -1.153846154 = 0.000000000 0.000000000 + 0.9076923077s + s2 = 0 + -1.153846154 0.9076923077s + s2 = 0 + -1.153846154 Combine like terms: 0 + -1.153846154 = -1.153846154 0.9076923077s + s2 = -1.153846154 The s term is 0.9076923077s. Take half its coefficient (0.4538461539). Square it (0.2059763314) and add it to both sides. Add '0.2059763314' to each side of the equation. 0.9076923077s + 0.2059763314 + s2 = -1.153846154 + 0.2059763314 Reorder the terms: 0.2059763314 + 0.9076923077s + s2 = -1.153846154 + 0.2059763314 Combine like terms: -1.153846154 + 0.2059763314 = -0.9478698226 0.2059763314 + 0.9076923077s + s2 = -0.9478698226 Factor a perfect square on the left side: (s + 0.4538461539)(s + 0.4538461539) = -0.9478698226 Can't calculate square root of the right side. The solution to this equation could not be determined.
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