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Simplifying -16t2 + 9t + -8 = 0 Reorder the terms: -8 + 9t + -16t2 = 0 Solving -8 + 9t + -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'. 0.5 + -0.5625t + t2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5625t + -0.5 + t2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5625t + t2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5625t + t2 = 0 + -0.5 -0.5625t + t2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5625t + t2 = -0.5 The t term is -0.5625t. Take half its coefficient (-0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. -0.5625t + 0.0791015625 + t2 = -0.5 + 0.0791015625 Reorder the terms: 0.0791015625 + -0.5625t + t2 = -0.5 + 0.0791015625 Combine like terms: -0.5 + 0.0791015625 = -0.4208984375 0.0791015625 + -0.5625t + t2 = -0.4208984375 Factor a perfect square on the left side: (t + -0.28125)(t + -0.28125) = -0.4208984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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