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Simplifying -5t2 + 7t = 60 Reorder the terms: 7t + -5t2 = 60 Solving 7t + -5t2 = 60 Solving for variable 't'. Reorder the terms: -60 + 7t + -5t2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 7t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 12 + -1.4t + t2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1.4t + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + -1.4t + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1.4t + t2 = 0 + -12 -1.4t + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1.4t + t2 = -12 The t term is -1.4t. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4t + 0.49 + t2 = -12 + 0.49 Reorder the terms: 0.49 + -1.4t + t2 = -12 + 0.49 Combine like terms: -12 + 0.49 = -11.51 0.49 + -1.4t + t2 = -11.51 Factor a perfect square on the left side: (t + -0.7)(t + -0.7) = -11.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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