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Simplifying -2t2 + 5t = 4 Reorder the terms: 5t + -2t2 = 4 Solving 5t + -2t2 = 4 Solving for variable 't'. Reorder the terms: -4 + 5t + -2t2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 5t + -2t2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 2 + -2.5t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.5t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -2.5t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.5t + t2 = 0 + -2 -2.5t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.5t + t2 = -2 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = -2 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = -2 + 1.5625 Combine like terms: -2 + 1.5625 = -0.4375 1.5625 + -2.5t + t2 = -0.4375 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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