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Simplifying 4t2 + -6t + 9 = 0 Reorder the terms: 9 + -6t + 4t2 = 0 Solving 9 + -6t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + -1.5t + t2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -1.5t + -2.25 + t2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -1.5t + t2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -1.5t + t2 = 0 + -2.25 -1.5t + t2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -1.5t + t2 = -2.25 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = -2.25 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = -2.25 + 0.5625 Combine like terms: -2.25 + 0.5625 = -1.6875 0.5625 + -1.5t + t2 = -1.6875 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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