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Simplifying 0 = 0.84t2 + 1.39t + 5.13 Reorder the terms: 0 = 5.13 + 1.39t + 0.84t2 Solving 0 = 5.13 + 1.39t + 0.84t2 Solving for variable 't'. Combine like terms: 0 + -5.13 = -5.13 -5.13 + -1.39t + -0.84t2 = 5.13 + 1.39t + 0.84t2 + -5.13 + -1.39t + -0.84t2 Reorder the terms: -5.13 + -1.39t + -0.84t2 = 5.13 + -5.13 + 1.39t + -1.39t + 0.84t2 + -0.84t2 Combine like terms: 5.13 + -5.13 = 0.00 -5.13 + -1.39t + -0.84t2 = 0.00 + 1.39t + -1.39t + 0.84t2 + -0.84t2 -5.13 + -1.39t + -0.84t2 = 1.39t + -1.39t + 0.84t2 + -0.84t2 Combine like terms: 1.39t + -1.39t = 0.00 -5.13 + -1.39t + -0.84t2 = 0.00 + 0.84t2 + -0.84t2 -5.13 + -1.39t + -0.84t2 = 0.84t2 + -0.84t2 Combine like terms: 0.84t2 + -0.84t2 = 0.00 -5.13 + -1.39t + -0.84t2 = 0.00 Begin completing the square. Divide all terms by -0.84 the coefficient of the squared term: Divide each side by '-0.84'. 6.107142857 + 1.654761905t + t2 = 0 Move the constant term to the right: Add '-6.107142857' to each side of the equation. 6.107142857 + 1.654761905t + -6.107142857 + t2 = 0 + -6.107142857 Reorder the terms: 6.107142857 + -6.107142857 + 1.654761905t + t2 = 0 + -6.107142857 Combine like terms: 6.107142857 + -6.107142857 = 0.000000000 0.000000000 + 1.654761905t + t2 = 0 + -6.107142857 1.654761905t + t2 = 0 + -6.107142857 Combine like terms: 0 + -6.107142857 = -6.107142857 1.654761905t + t2 = -6.107142857 The t term is 1.654761905t. Take half its coefficient (0.8273809525). Square it (0.6845592406) and add it to both sides. Add '0.6845592406' to each side of the equation. 1.654761905t + 0.6845592406 + t2 = -6.107142857 + 0.6845592406 Reorder the terms: 0.6845592406 + 1.654761905t + t2 = -6.107142857 + 0.6845592406 Combine like terms: -6.107142857 + 0.6845592406 = -5.4225836164 0.6845592406 + 1.654761905t + t2 = -5.4225836164 Factor a perfect square on the left side: (t + 0.8273809525)(t + 0.8273809525) = -5.4225836164 Can't calculate square root of the right side. The solution to this equation could not be determined.
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