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Simplifying 13t2 + -13t + 10 = 0 Reorder the terms: 10 + -13t + 13t2 = 0 Solving 10 + -13t + 13t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.7692307692 + -1t + t2 = 0 Move the constant term to the right: Add '-0.7692307692' to each side of the equation. 0.7692307692 + -1t + -0.7692307692 + t2 = 0 + -0.7692307692 Reorder the terms: 0.7692307692 + -0.7692307692 + -1t + t2 = 0 + -0.7692307692 Combine like terms: 0.7692307692 + -0.7692307692 = 0.0000000000 0.0000000000 + -1t + t2 = 0 + -0.7692307692 -1t + t2 = 0 + -0.7692307692 Combine like terms: 0 + -0.7692307692 = -0.7692307692 -1t + t2 = -0.7692307692 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -0.7692307692 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -0.7692307692 + 0.25 Combine like terms: -0.7692307692 + 0.25 = -0.5192307692 0.25 + -1t + t2 = -0.5192307692 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -0.5192307692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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