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Simplifying 16t2 + -7t = 7t + -9 Reorder the terms: -7t + 16t2 = 7t + -9 Reorder the terms: -7t + 16t2 = -9 + 7t Solving -7t + 16t2 = -9 + 7t Solving for variable 't'. Reorder the terms: 9 + -7t + -7t + 16t2 = -9 + 7t + 9 + -7t Combine like terms: -7t + -7t = -14t 9 + -14t + 16t2 = -9 + 7t + 9 + -7t Reorder the terms: 9 + -14t + 16t2 = -9 + 9 + 7t + -7t Combine like terms: -9 + 9 = 0 9 + -14t + 16t2 = 0 + 7t + -7t 9 + -14t + 16t2 = 7t + -7t Combine like terms: 7t + -7t = 0 9 + -14t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.5625 + -0.875t + t2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + -0.875t + -0.5625 + t2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + -0.875t + t2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + -0.875t + t2 = 0 + -0.5625 -0.875t + t2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 -0.875t + t2 = -0.5625 The t term is -0.875t. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875t + 0.19140625 + t2 = -0.5625 + 0.19140625 Reorder the terms: 0.19140625 + -0.875t + t2 = -0.5625 + 0.19140625 Combine like terms: -0.5625 + 0.19140625 = -0.37109375 0.19140625 + -0.875t + t2 = -0.37109375 Factor a perfect square on the left side: (t + -0.4375)(t + -0.4375) = -0.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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