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Simplifying 7 = -16t2 + 21t Reorder the terms: 7 = 21t + -16t2 Solving 7 = 21t + -16t2 Solving for variable 't'. Reorder the terms: 7 + -21t + 16t2 = 21t + -21t + -16t2 + 16t2 Combine like terms: 21t + -21t = 0 7 + -21t + 16t2 = 0 + -16t2 + 16t2 7 + -21t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 7 + -21t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.4375 + -1.3125t + t2 = 0 Move the constant term to the right: Add '-0.4375' to each side of the equation. 0.4375 + -1.3125t + -0.4375 + t2 = 0 + -0.4375 Reorder the terms: 0.4375 + -0.4375 + -1.3125t + t2 = 0 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + -1.3125t + t2 = 0 + -0.4375 -1.3125t + t2 = 0 + -0.4375 Combine like terms: 0 + -0.4375 = -0.4375 -1.3125t + t2 = -0.4375 The t term is -1.3125t. Take half its coefficient (-0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. -1.3125t + 0.4306640625 + t2 = -0.4375 + 0.4306640625 Reorder the terms: 0.4306640625 + -1.3125t + t2 = -0.4375 + 0.4306640625 Combine like terms: -0.4375 + 0.4306640625 = -0.0068359375 0.4306640625 + -1.3125t + t2 = -0.0068359375 Factor a perfect square on the left side: (t + -0.65625)(t + -0.65625) = -0.0068359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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