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Simplifying 1200 + -45t + 20t2 = 0 Solving 1200 + -45t + 20t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(240 + -9t + 4t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(240 + -9t + 4t2)' equal to zero and attempt to solve: Simplifying 240 + -9t + 4t2 = 0 Solving 240 + -9t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 60 + -2.25t + t2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -2.25t + -60 + t2 = 0 + -60 Reorder the terms: 60 + -60 + -2.25t + t2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -2.25t + t2 = 0 + -60 -2.25t + t2 = 0 + -60 Combine like terms: 0 + -60 = -60 -2.25t + t2 = -60 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 = -60 + 1.265625 Reorder the terms: 1.265625 + -2.25t + t2 = -60 + 1.265625 Combine like terms: -60 + 1.265625 = -58.734375 1.265625 + -2.25t + t2 = -58.734375 Factor a perfect square on the left side: (t + -1.125)(t + -1.125) = -58.734375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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