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Simplifying 12t(1 + -7t) = 31 (1 * 12t + -7t * 12t) = 31 (12t + -84t2) = 31 Solving 12t + -84t2 = 31 Solving for variable 't'. Reorder the terms: -31 + 12t + -84t2 = 31 + -31 Combine like terms: 31 + -31 = 0 -31 + 12t + -84t2 = 0 Begin completing the square. Divide all terms by -84 the coefficient of the squared term: Divide each side by '-84'. 0.369047619 + -0.1428571429t + t2 = 0 Move the constant term to the right: Add '-0.369047619' to each side of the equation. 0.369047619 + -0.1428571429t + -0.369047619 + t2 = 0 + -0.369047619 Reorder the terms: 0.369047619 + -0.369047619 + -0.1428571429t + t2 = 0 + -0.369047619 Combine like terms: 0.369047619 + -0.369047619 = 0.000000000 0.000000000 + -0.1428571429t + t2 = 0 + -0.369047619 -0.1428571429t + t2 = 0 + -0.369047619 Combine like terms: 0 + -0.369047619 = -0.369047619 -0.1428571429t + t2 = -0.369047619 The t term is -0.1428571429t. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429t + 0.005102040819 + t2 = -0.369047619 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429t + t2 = -0.369047619 + 0.005102040819 Combine like terms: -0.369047619 + 0.005102040819 = -0.363945578181 0.005102040819 + -0.1428571429t + t2 = -0.363945578181 Factor a perfect square on the left side: (t + -0.07142857145)(t + -0.07142857145) = -0.363945578181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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