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Simplifying 2t2 + 15t2 + -6t + 3 = 0 Reorder the terms: 3 + -6t + 2t2 + 15t2 = 0 Combine like terms: 2t2 + 15t2 = 17t2 3 + -6t + 17t2 = 0 Solving 3 + -6t + 17t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.1764705882 + -0.3529411765t + t2 = 0 Move the constant term to the right: Add '-0.1764705882' to each side of the equation. 0.1764705882 + -0.3529411765t + -0.1764705882 + t2 = 0 + -0.1764705882 Reorder the terms: 0.1764705882 + -0.1764705882 + -0.3529411765t + t2 = 0 + -0.1764705882 Combine like terms: 0.1764705882 + -0.1764705882 = 0.0000000000 0.0000000000 + -0.3529411765t + t2 = 0 + -0.1764705882 -0.3529411765t + t2 = 0 + -0.1764705882 Combine like terms: 0 + -0.1764705882 = -0.1764705882 -0.3529411765t + t2 = -0.1764705882 The t term is -0.3529411765t. Take half its coefficient (-0.1764705883). Square it (0.03114186853) and add it to both sides. Add '0.03114186853' to each side of the equation. -0.3529411765t + 0.03114186853 + t2 = -0.1764705882 + 0.03114186853 Reorder the terms: 0.03114186853 + -0.3529411765t + t2 = -0.1764705882 + 0.03114186853 Combine like terms: -0.1764705882 + 0.03114186853 = -0.14532871967 0.03114186853 + -0.3529411765t + t2 = -0.14532871967 Factor a perfect square on the left side: (t + -0.1764705883)(t + -0.1764705883) = -0.14532871967 Can't calculate square root of the right side. The solution to this equation could not be determined.
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