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Simplifying 0 = 4.9x2 + x + 360 Reorder the terms: 0 = 360 + x + 4.9x2 Solving 0 = 360 + x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -360 = -360 -360 + -1x + -4.9x2 = 360 + x + 4.9x2 + -360 + -1x + -4.9x2 Reorder the terms: -360 + -1x + -4.9x2 = 360 + -360 + x + -1x + 4.9x2 + -4.9x2 Combine like terms: 360 + -360 = 0 -360 + -1x + -4.9x2 = 0 + x + -1x + 4.9x2 + -4.9x2 -360 + -1x + -4.9x2 = x + -1x + 4.9x2 + -4.9x2 Combine like terms: x + -1x = 0 -360 + -1x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -360 + -1x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -360 + -1x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 73.46938776 + 0.2040816327x + x2 = 0 Move the constant term to the right: Add '-73.46938776' to each side of the equation. 73.46938776 + 0.2040816327x + -73.46938776 + x2 = 0 + -73.46938776 Reorder the terms: 73.46938776 + -73.46938776 + 0.2040816327x + x2 = 0 + -73.46938776 Combine like terms: 73.46938776 + -73.46938776 = 0.00000000 0.00000000 + 0.2040816327x + x2 = 0 + -73.46938776 0.2040816327x + x2 = 0 + -73.46938776 Combine like terms: 0 + -73.46938776 = -73.46938776 0.2040816327x + x2 = -73.46938776 The x term is 0.2040816327x. Take half its coefficient (0.1020408164). Square it (0.01041232821) and add it to both sides. Add '0.01041232821' to each side of the equation. 0.2040816327x + 0.01041232821 + x2 = -73.46938776 + 0.01041232821 Reorder the terms: 0.01041232821 + 0.2040816327x + x2 = -73.46938776 + 0.01041232821 Combine like terms: -73.46938776 + 0.01041232821 = -73.45897543179 0.01041232821 + 0.2040816327x + x2 = -73.45897543179 Factor a perfect square on the left side: (x + 0.1020408164)(x + 0.1020408164) = -73.45897543179 Can't calculate square root of the right side. The solution to this equation could not be determined.
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