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Simplifying 5t2 + -12t + 65 = 0 Reorder the terms: 65 + -12t + 5t2 = 0 Solving 65 + -12t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 13 + -2.4t + t2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -2.4t + -13 + t2 = 0 + -13 Reorder the terms: 13 + -13 + -2.4t + t2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2.4t + t2 = 0 + -13 -2.4t + t2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2.4t + t2 = -13 The t term is -2.4t. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4t + 1.44 + t2 = -13 + 1.44 Reorder the terms: 1.44 + -2.4t + t2 = -13 + 1.44 Combine like terms: -13 + 1.44 = -11.56 1.44 + -2.4t + t2 = -11.56 Factor a perfect square on the left side: (t + -1.2)(t + -1.2) = -11.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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