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Simplifying -4t2 + 3t + -40 = 0 Reorder the terms: -40 + 3t + -4t2 = 0 Solving -40 + 3t + -4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 10 + -0.75t + t2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -0.75t + -10 + t2 = 0 + -10 Reorder the terms: 10 + -10 + -0.75t + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -0.75t + t2 = 0 + -10 -0.75t + t2 = 0 + -10 Combine like terms: 0 + -10 = -10 -0.75t + t2 = -10 The t term is -0.75t. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75t + 0.140625 + t2 = -10 + 0.140625 Reorder the terms: 0.140625 + -0.75t + t2 = -10 + 0.140625 Combine like terms: -10 + 0.140625 = -9.859375 0.140625 + -0.75t + t2 = -9.859375 Factor a perfect square on the left side: (t + -0.375)(t + -0.375) = -9.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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