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Simplifying 60 = -16t2 + 20t Reorder the terms: 60 = 20t + -16t2 Solving 60 = 20t + -16t2 Solving for variable 't'. Reorder the terms: 60 + -20t + 16t2 = 20t + -20t + -16t2 + 16t2 Combine like terms: 20t + -20t = 0 60 + -20t + 16t2 = 0 + -16t2 + 16t2 60 + -20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 60 + -20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(15 + -5t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -5t + 4t2)' equal to zero and attempt to solve: Simplifying 15 + -5t + 4t2 = 0 Solving 15 + -5t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + -1.25t + t2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -1.25t + -3.75 + t2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -1.25t + t2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -1.25t + t2 = 0 + -3.75 -1.25t + t2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -1.25t + t2 = -3.75 The t term is -1.25t. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25t + 0.390625 + t2 = -3.75 + 0.390625 Reorder the terms: 0.390625 + -1.25t + t2 = -3.75 + 0.390625 Combine like terms: -3.75 + 0.390625 = -3.359375 0.390625 + -1.25t + t2 = -3.359375 Factor a perfect square on the left side: (t + -0.625)(t + -0.625) = -3.359375 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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