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Simplifying 5t2 + -16t + 32 = 0 Reorder the terms: 32 + -16t + 5t2 = 0 Solving 32 + -16t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.4 + -3.2t + t2 = 0 Move the constant term to the right: Add '-6.4' to each side of the equation. 6.4 + -3.2t + -6.4 + t2 = 0 + -6.4 Reorder the terms: 6.4 + -6.4 + -3.2t + t2 = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -3.2t + t2 = 0 + -6.4 -3.2t + t2 = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 -3.2t + t2 = -6.4 The t term is -3.2t. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2t + 2.56 + t2 = -6.4 + 2.56 Reorder the terms: 2.56 + -3.2t + t2 = -6.4 + 2.56 Combine like terms: -6.4 + 2.56 = -3.84 2.56 + -3.2t + t2 = -3.84 Factor a perfect square on the left side: (t + -1.6)(t + -1.6) = -3.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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