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Simplifying -16t2 + 32t + -7 = 10 Reorder the terms: -7 + 32t + -16t2 = 10 Solving -7 + 32t + -16t2 = 10 Solving for variable 't'. Reorder the terms: -7 + -10 + 32t + -16t2 = 10 + -10 Combine like terms: -7 + -10 = -17 -17 + 32t + -16t2 = 10 + -10 Combine like terms: 10 + -10 = 0 -17 + 32t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.0625 + -2t + t2 = 0 Move the constant term to the right: Add '-1.0625' to each side of the equation. 1.0625 + -2t + -1.0625 + t2 = 0 + -1.0625 Reorder the terms: 1.0625 + -1.0625 + -2t + t2 = 0 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + -2t + t2 = 0 + -1.0625 -2t + t2 = 0 + -1.0625 Combine like terms: 0 + -1.0625 = -1.0625 -2t + t2 = -1.0625 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = -1.0625 + 1 Reorder the terms: 1 + -2t + t2 = -1.0625 + 1 Combine like terms: -1.0625 + 1 = -0.0625 1 + -2t + t2 = -0.0625 Factor a perfect square on the left side: (t + -1)(t + -1) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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