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Simplifying 16t2 + 10t + 3 = 0 Reorder the terms: 3 + 10t + 16t2 = 0 Solving 3 + 10t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + 0.625t + t2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + 0.625t + -0.1875 + t2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + 0.625t + t2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + 0.625t + t2 = 0 + -0.1875 0.625t + t2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 0.625t + t2 = -0.1875 The t term is 0.625t. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625t + 0.09765625 + t2 = -0.1875 + 0.09765625 Reorder the terms: 0.09765625 + 0.625t + t2 = -0.1875 + 0.09765625 Combine like terms: -0.1875 + 0.09765625 = -0.08984375 0.09765625 + 0.625t + t2 = -0.08984375 Factor a perfect square on the left side: (t + 0.3125)(t + 0.3125) = -0.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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