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Simplifying -16t2 + 12t + -2.5 = 0 Reorder the terms: -2.5 + 12t + -16t2 = 0 Solving -2.5 + 12t + -16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.15625 + -0.75t + t2 = 0 Move the constant term to the right: Add '-0.15625' to each side of the equation. 0.15625 + -0.75t + -0.15625 + t2 = 0 + -0.15625 Reorder the terms: 0.15625 + -0.15625 + -0.75t + t2 = 0 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + -0.75t + t2 = 0 + -0.15625 -0.75t + t2 = 0 + -0.15625 Combine like terms: 0 + -0.15625 = -0.15625 -0.75t + t2 = -0.15625 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 = -0.15625 + 0.140625 Reorder the terms: 0.140625 + -0.75t + t2 = -0.15625 + 0.140625 Combine like terms: -0.15625 + 0.140625 = -0.015625 0.140625 + -0.75t + t2 = -0.015625 Factor a perfect square on the left side: (t + -0.375)(t + -0.375) = -0.015625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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