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Simplifying 0.765t2 + -0.886t + 1.832 = 0 Reorder the terms: 1.832 + -0.886t + 0.765t2 = 0 Solving 1.832 + -0.886t + 0.765t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.765 the coefficient of the squared term: Divide each side by '0.765'. 2.394771242 + -1.158169935t + t2 = 0 Move the constant term to the right: Add '-2.394771242' to each side of the equation. 2.394771242 + -1.158169935t + -2.394771242 + t2 = 0 + -2.394771242 Reorder the terms: 2.394771242 + -2.394771242 + -1.158169935t + t2 = 0 + -2.394771242 Combine like terms: 2.394771242 + -2.394771242 = 0.000000000 0.000000000 + -1.158169935t + t2 = 0 + -2.394771242 -1.158169935t + t2 = 0 + -2.394771242 Combine like terms: 0 + -2.394771242 = -2.394771242 -1.158169935t + t2 = -2.394771242 The t term is -1.158169935t. Take half its coefficient (-0.5790849675). Square it (0.3353393996) and add it to both sides. Add '0.3353393996' to each side of the equation. -1.158169935t + 0.3353393996 + t2 = -2.394771242 + 0.3353393996 Reorder the terms: 0.3353393996 + -1.158169935t + t2 = -2.394771242 + 0.3353393996 Combine like terms: -2.394771242 + 0.3353393996 = -2.0594318424 0.3353393996 + -1.158169935t + t2 = -2.0594318424 Factor a perfect square on the left side: (t + -0.5790849675)(t + -0.5790849675) = -2.0594318424 Can't calculate square root of the right side. The solution to this equation could not be determined.
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