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Simplifying 8t2 + -9t + 16 = 0 Reorder the terms: 16 + -9t + 8t2 = 0 Solving 16 + -9t + 8t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2 + -1.125t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.125t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -1.125t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.125t + t2 = 0 + -2 -1.125t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.125t + t2 = -2 The t term is -1.125t. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125t + 0.31640625 + t2 = -2 + 0.31640625 Reorder the terms: 0.31640625 + -1.125t + t2 = -2 + 0.31640625 Combine like terms: -2 + 0.31640625 = -1.68359375 0.31640625 + -1.125t + t2 = -1.68359375 Factor a perfect square on the left side: (t + -0.5625)(t + -0.5625) = -1.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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