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Simplifying 0 = 16t2 + -15t + 30 Reorder the terms: 0 = 30 + -15t + 16t2 Solving 0 = 30 + -15t + 16t2 Solving for variable 't'. Combine like terms: 0 + -30 = -30 -30 + 15t + -16t2 = 30 + -15t + 16t2 + -30 + 15t + -16t2 Reorder the terms: -30 + 15t + -16t2 = 30 + -30 + -15t + 15t + 16t2 + -16t2 Combine like terms: 30 + -30 = 0 -30 + 15t + -16t2 = 0 + -15t + 15t + 16t2 + -16t2 -30 + 15t + -16t2 = -15t + 15t + 16t2 + -16t2 Combine like terms: -15t + 15t = 0 -30 + 15t + -16t2 = 0 + 16t2 + -16t2 -30 + 15t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -30 + 15t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.875 + -0.9375t + t2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -0.9375t + -1.875 + t2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -0.9375t + t2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -0.9375t + t2 = 0 + -1.875 -0.9375t + t2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -0.9375t + t2 = -1.875 The t term is -0.9375t. Take half its coefficient (-0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. -0.9375t + 0.2197265625 + t2 = -1.875 + 0.2197265625 Reorder the terms: 0.2197265625 + -0.9375t + t2 = -1.875 + 0.2197265625 Combine like terms: -1.875 + 0.2197265625 = -1.6552734375 0.2197265625 + -0.9375t + t2 = -1.6552734375 Factor a perfect square on the left side: (t + -0.46875)(t + -0.46875) = -1.6552734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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