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Simplifying 0 = -0.7t2 + 14t + -140 Reorder the terms: 0 = -140 + 14t + -0.7t2 Solving 0 = -140 + 14t + -0.7t2 Solving for variable 't'. Combine like terms: 0 + 140 = 140 140 + -14t + 0.7t2 = -140 + 14t + -0.7t2 + 140 + -14t + 0.7t2 Reorder the terms: 140 + -14t + 0.7t2 = -140 + 140 + 14t + -14t + -0.7t2 + 0.7t2 Combine like terms: -140 + 140 = 0 140 + -14t + 0.7t2 = 0 + 14t + -14t + -0.7t2 + 0.7t2 140 + -14t + 0.7t2 = 14t + -14t + -0.7t2 + 0.7t2 Combine like terms: 14t + -14t = 0 140 + -14t + 0.7t2 = 0 + -0.7t2 + 0.7t2 140 + -14t + 0.7t2 = -0.7t2 + 0.7t2 Combine like terms: -0.7t2 + 0.7t2 = 0.0 140 + -14t + 0.7t2 = 0.0 Begin completing the square. Divide all terms by 0.7 the coefficient of the squared term: Divide each side by '0.7'. 200 + -20t + t2 = 0 Move the constant term to the right: Add '-200' to each side of the equation. 200 + -20t + -200 + t2 = 0 + -200 Reorder the terms: 200 + -200 + -20t + t2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -20t + t2 = 0 + -200 -20t + t2 = 0 + -200 Combine like terms: 0 + -200 = -200 -20t + t2 = -200 The t term is -20t. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20t + 100 + t2 = -200 + 100 Reorder the terms: 100 + -20t + t2 = -200 + 100 Combine like terms: -200 + 100 = -100 100 + -20t + t2 = -100 Factor a perfect square on the left side: (t + -10)(t + -10) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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