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Simplifying 4t2 + -9t + 6 = 0 Reorder the terms: 6 + -9t + 4t2 = 0 Solving 6 + -9t + 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'. 1.5 + -2.25t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2.25t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2.25t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.25t + t2 = 0 + -1.5 -2.25t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.25t + t2 = -1.5 The t term is -2.25t. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25t + 1.265625 + t2 = -1.5 + 1.265625 Reorder the terms: 1.265625 + -2.25t + t2 = -1.5 + 1.265625 Combine like terms: -1.5 + 1.265625 = -0.234375 1.265625 + -2.25t + t2 = -0.234375 Factor a perfect square on the left side: (t + -1.125)(t + -1.125) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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