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Simplifying -16t2 + 30t + 5 = 20 Reorder the terms: 5 + 30t + -16t2 = 20 Solving 5 + 30t + -16t2 = 20 Solving for variable 't'. Reorder the terms: 5 + -20 + 30t + -16t2 = 20 + -20 Combine like terms: 5 + -20 = -15 -15 + 30t + -16t2 = 20 + -20 Combine like terms: 20 + -20 = 0 -15 + 30t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.9375 + -1.875t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -1.875t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -1.875t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -1.875t + t2 = 0 + -0.9375 -1.875t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -1.875t + t2 = -0.9375 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = -0.9375 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = -0.9375 + 0.87890625 Combine like terms: -0.9375 + 0.87890625 = -0.05859375 0.87890625 + -1.875t + t2 = -0.05859375 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = -0.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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