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Simplifying 20 = -16t2 + 5t + 15 Reorder the terms: 20 = 15 + 5t + -16t2 Solving 20 = 15 + 5t + -16t2 Solving for variable 't'. Combine like terms: 20 + -15 = 5 5 + -5t + 16t2 = 15 + 5t + -16t2 + -15 + -5t + 16t2 Reorder the terms: 5 + -5t + 16t2 = 15 + -15 + 5t + -5t + -16t2 + 16t2 Combine like terms: 15 + -15 = 0 5 + -5t + 16t2 = 0 + 5t + -5t + -16t2 + 16t2 5 + -5t + 16t2 = 5t + -5t + -16t2 + 16t2 Combine like terms: 5t + -5t = 0 5 + -5t + 16t2 = 0 + -16t2 + 16t2 5 + -5t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 5 + -5t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + -0.3125t + t2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + -0.3125t + -0.3125 + t2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + -0.3125t + t2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + -0.3125t + t2 = 0 + -0.3125 -0.3125t + t2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 -0.3125t + t2 = -0.3125 The t term is -0.3125t. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125t + 0.0244140625 + t2 = -0.3125 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125t + t2 = -0.3125 + 0.0244140625 Combine like terms: -0.3125 + 0.0244140625 = -0.2880859375 0.0244140625 + -0.3125t + t2 = -0.2880859375 Factor a perfect square on the left side: (t + -0.15625)(t + -0.15625) = -0.2880859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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