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Simplifying 16t2 + 30 = t Reorder the terms: 30 + 16t2 = t Solving 30 + 16t2 = t Solving for variable 't'. Reorder the terms: 30 + -1t + 16t2 = t + -1t Combine like terms: t + -1t = 0 30 + -1t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.875 + -0.0625t + t2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -0.0625t + -1.875 + t2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -0.0625t + t2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -0.0625t + t2 = 0 + -1.875 -0.0625t + t2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -0.0625t + t2 = -1.875 The t term is -0.0625t. Take half its coefficient (-0.03125). Square it (0.0009765625) and add it to both sides. Add '0.0009765625' to each side of the equation. -0.0625t + 0.0009765625 + t2 = -1.875 + 0.0009765625 Reorder the terms: 0.0009765625 + -0.0625t + t2 = -1.875 + 0.0009765625 Combine like terms: -1.875 + 0.0009765625 = -1.8740234375 0.0009765625 + -0.0625t + t2 = -1.8740234375 Factor a perfect square on the left side: (t + -0.03125)(t + -0.03125) = -1.8740234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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