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Simplifying -1t2 + 21t + -270 = 0 Reorder the terms: -270 + 21t + -1t2 = 0 Solving -270 + 21t + -1t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 270 + -21t + t2 = 0 Move the constant term to the right: Add '-270' to each side of the equation. 270 + -21t + -270 + t2 = 0 + -270 Reorder the terms: 270 + -270 + -21t + t2 = 0 + -270 Combine like terms: 270 + -270 = 0 0 + -21t + t2 = 0 + -270 -21t + t2 = 0 + -270 Combine like terms: 0 + -270 = -270 -21t + t2 = -270 The t term is -21t. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21t + 110.25 + t2 = -270 + 110.25 Reorder the terms: 110.25 + -21t + t2 = -270 + 110.25 Combine like terms: -270 + 110.25 = -159.75 110.25 + -21t + t2 = -159.75 Factor a perfect square on the left side: (t + -10.5)(t + -10.5) = -159.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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