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Simplifying 8t2 + -6t + 9 = 0 Reorder the terms: 9 + -6t + 8t2 = 0 Solving 9 + -6t + 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'. 1.125 + -0.75t + t2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.75t + -1.125 + t2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.75t + t2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.75t + t2 = 0 + -1.125 -0.75t + t2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.75t + t2 = -1.125 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 = -1.125 + 0.140625 Reorder the terms: 0.140625 + -0.75t + t2 = -1.125 + 0.140625 Combine like terms: -1.125 + 0.140625 = -0.984375 0.140625 + -0.75t + t2 = -0.984375 Factor a perfect square on the left side: (t + -0.375)(t + -0.375) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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