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Simplifying 1.23 = 2t + -5t2 Solving 1.23 = 2t + -5t2 Solving for variable 't'. Reorder the terms: 1.23 + -2t + 5t2 = 2t + -2t + -5t2 + 5t2 Combine like terms: 2t + -2t = 0 1.23 + -2t + 5t2 = 0 + -5t2 + 5t2 1.23 + -2t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 1.23 + -2t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.246 + -0.4t + t2 = 0 Move the constant term to the right: Add '-0.246' to each side of the equation. 0.246 + -0.4t + -0.246 + t2 = 0 + -0.246 Reorder the terms: 0.246 + -0.246 + -0.4t + t2 = 0 + -0.246 Combine like terms: 0.246 + -0.246 = 0.000 0.000 + -0.4t + t2 = 0 + -0.246 -0.4t + t2 = 0 + -0.246 Combine like terms: 0 + -0.246 = -0.246 -0.4t + t2 = -0.246 The t term is -0.4t. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4t + 0.04 + t2 = -0.246 + 0.04 Reorder the terms: 0.04 + -0.4t + t2 = -0.246 + 0.04 Combine like terms: -0.246 + 0.04 = -0.206 0.04 + -0.4t + t2 = -0.206 Factor a perfect square on the left side: (t + -0.2)(t + -0.2) = -0.206 Can't calculate square root of the right side. The solution to this equation could not be determined.
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