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Simplifying 3.3 = x + -4.9x2 Solving 3.3 = x + -4.9x2 Solving for variable 'x'. Reorder the terms: 3.3 + -1x + 4.9x2 = x + -1x + -4.9x2 + 4.9x2 Combine like terms: x + -1x = 0 3.3 + -1x + 4.9x2 = 0 + -4.9x2 + 4.9x2 3.3 + -1x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 3.3 + -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'. 0.6734693878 + -0.2040816327x + x2 = 0 Move the constant term to the right: Add '-0.6734693878' to each side of the equation. 0.6734693878 + -0.2040816327x + -0.6734693878 + x2 = 0 + -0.6734693878 Reorder the terms: 0.6734693878 + -0.6734693878 + -0.2040816327x + x2 = 0 + -0.6734693878 Combine like terms: 0.6734693878 + -0.6734693878 = 0.0000000000 0.0000000000 + -0.2040816327x + x2 = 0 + -0.6734693878 -0.2040816327x + x2 = 0 + -0.6734693878 Combine like terms: 0 + -0.6734693878 = -0.6734693878 -0.2040816327x + x2 = -0.6734693878 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 = -0.6734693878 + 0.01041232821 Reorder the terms: 0.01041232821 + -0.2040816327x + x2 = -0.6734693878 + 0.01041232821 Combine like terms: -0.6734693878 + 0.01041232821 = -0.66305705959 0.01041232821 + -0.2040816327x + x2 = -0.66305705959 Factor a perfect square on the left side: (x + -0.1020408164)(x + -0.1020408164) = -0.66305705959 Can't calculate square root of the right side. The solution to this equation could not be determined.
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