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Simplifying 50.0t + -1.5t2 = 900 Solving 50.0t + -1.5t2 = 900 Solving for variable 't'. Reorder the terms: -900 + 50.0t + -1.5t2 = 900 + -900 Combine like terms: 900 + -900 = 0 -900 + 50.0t + -1.5t2 = 0 Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. 600 + -33.33333333t + t2 = 0 Move the constant term to the right: Add '-600' to each side of the equation. 600 + -33.33333333t + -600 + t2 = 0 + -600 Reorder the terms: 600 + -600 + -33.33333333t + t2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -33.33333333t + t2 = 0 + -600 -33.33333333t + t2 = 0 + -600 Combine like terms: 0 + -600 = -600 -33.33333333t + t2 = -600 The t term is -33.33333333t. Take half its coefficient (-16.66666667). Square it (277.7777779) and add it to both sides. Add '277.7777779' to each side of the equation. -33.33333333t + 277.7777779 + t2 = -600 + 277.7777779 Reorder the terms: 277.7777779 + -33.33333333t + t2 = -600 + 277.7777779 Combine like terms: -600 + 277.7777779 = -322.2222221 277.7777779 + -33.33333333t + t2 = -322.2222221 Factor a perfect square on the left side: (t + -16.66666667)(t + -16.66666667) = -322.2222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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