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Simplifying 150 = -16t2 + 7t + 4 Reorder the terms: 150 = 4 + 7t + -16t2 Solving 150 = 4 + 7t + -16t2 Solving for variable 't'. Combine like terms: 150 + -4 = 146 146 + -7t + 16t2 = 4 + 7t + -16t2 + -4 + -7t + 16t2 Reorder the terms: 146 + -7t + 16t2 = 4 + -4 + 7t + -7t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 146 + -7t + 16t2 = 0 + 7t + -7t + -16t2 + 16t2 146 + -7t + 16t2 = 7t + -7t + -16t2 + 16t2 Combine like terms: 7t + -7t = 0 146 + -7t + 16t2 = 0 + -16t2 + 16t2 146 + -7t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 146 + -7t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 9.125 + -0.4375t + t2 = 0 Move the constant term to the right: Add '-9.125' to each side of the equation. 9.125 + -0.4375t + -9.125 + t2 = 0 + -9.125 Reorder the terms: 9.125 + -9.125 + -0.4375t + t2 = 0 + -9.125 Combine like terms: 9.125 + -9.125 = 0.000 0.000 + -0.4375t + t2 = 0 + -9.125 -0.4375t + t2 = 0 + -9.125 Combine like terms: 0 + -9.125 = -9.125 -0.4375t + t2 = -9.125 The t term is -0.4375t. Take half its coefficient (-0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. -0.4375t + 0.0478515625 + t2 = -9.125 + 0.0478515625 Reorder the terms: 0.0478515625 + -0.4375t + t2 = -9.125 + 0.0478515625 Combine like terms: -9.125 + 0.0478515625 = -9.0771484375 0.0478515625 + -0.4375t + t2 = -9.0771484375 Factor a perfect square on the left side: (t + -0.21875)(t + -0.21875) = -9.0771484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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