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Simplifying 16t2 + 47t + 210 = 0 Reorder the terms: 210 + 47t + 16t2 = 0 Solving 210 + 47t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 13.125 + 2.9375t + t2 = 0 Move the constant term to the right: Add '-13.125' to each side of the equation. 13.125 + 2.9375t + -13.125 + t2 = 0 + -13.125 Reorder the terms: 13.125 + -13.125 + 2.9375t + t2 = 0 + -13.125 Combine like terms: 13.125 + -13.125 = 0.000 0.000 + 2.9375t + t2 = 0 + -13.125 2.9375t + t2 = 0 + -13.125 Combine like terms: 0 + -13.125 = -13.125 2.9375t + t2 = -13.125 The t term is 2.9375t. Take half its coefficient (1.46875). Square it (2.157226563) and add it to both sides. Add '2.157226563' to each side of the equation. 2.9375t + 2.157226563 + t2 = -13.125 + 2.157226563 Reorder the terms: 2.157226563 + 2.9375t + t2 = -13.125 + 2.157226563 Combine like terms: -13.125 + 2.157226563 = -10.967773437 2.157226563 + 2.9375t + t2 = -10.967773437 Factor a perfect square on the left side: (t + 1.46875)(t + 1.46875) = -10.967773437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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