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Simplifying 96 = t + -16t2 Solving 96 = t + -16t2 Solving for variable 't'. Reorder the terms: 96 + -1t + 16t2 = t + -1t + -16t2 + 16t2 Combine like terms: t + -1t = 0 96 + -1t + 16t2 = 0 + -16t2 + 16t2 96 + -1t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 96 + -1t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 6 + -0.0625t + t2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.0625t + -6 + t2 = 0 + -6 Reorder the terms: 6 + -6 + -0.0625t + t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.0625t + t2 = 0 + -6 -0.0625t + t2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.0625t + t2 = -6 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 = -6 + 0.0009765625 Reorder the terms: 0.0009765625 + -0.0625t + t2 = -6 + 0.0009765625 Combine like terms: -6 + 0.0009765625 = -5.9990234375 0.0009765625 + -0.0625t + t2 = -5.9990234375 Factor a perfect square on the left side: (t + -0.03125)(t + -0.03125) = -5.9990234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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