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Simplifying 0.83t2 + -10t + 31 = 0 Reorder the terms: 31 + -10t + 0.83t2 = 0 Solving 31 + -10t + 0.83t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.83 the coefficient of the squared term: Divide each side by '0.83'. 37.34939759 + -12.04819277t + t2 = 0 Move the constant term to the right: Add '-37.34939759' to each side of the equation. 37.34939759 + -12.04819277t + -37.34939759 + t2 = 0 + -37.34939759 Reorder the terms: 37.34939759 + -37.34939759 + -12.04819277t + t2 = 0 + -37.34939759 Combine like terms: 37.34939759 + -37.34939759 = 0.00000000 0.00000000 + -12.04819277t + t2 = 0 + -37.34939759 -12.04819277t + t2 = 0 + -37.34939759 Combine like terms: 0 + -37.34939759 = -37.34939759 -12.04819277t + t2 = -37.34939759 The t term is -12.04819277t. Take half its coefficient (-6.024096385). Square it (36.28973726) and add it to both sides. Add '36.28973726' to each side of the equation. -12.04819277t + 36.28973726 + t2 = -37.34939759 + 36.28973726 Reorder the terms: 36.28973726 + -12.04819277t + t2 = -37.34939759 + 36.28973726 Combine like terms: -37.34939759 + 36.28973726 = -1.05966033 36.28973726 + -12.04819277t + t2 = -1.05966033 Factor a perfect square on the left side: (t + -6.024096385)(t + -6.024096385) = -1.05966033 Can't calculate square root of the right side. The solution to this equation could not be determined.
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