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Simplifying t = t2 + 3 Reorder the terms: t = 3 + t2 Solving t = 3 + t2 Solving for variable 't'. Reorder the terms: -3 + t + -1t2 = 3 + t2 + -3 + -1t2 Reorder the terms: -3 + t + -1t2 = 3 + -3 + t2 + -1t2 Combine like terms: 3 + -3 = 0 -3 + t + -1t2 = 0 + t2 + -1t2 -3 + t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -3 + t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -1t + t2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + -1t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t + t2 = 0 + -3 -1t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1t + t2 = -3 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -3 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -1t + t2 = -2.75 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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