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Simplifying 0 = -16t2 + 48t + -352 Reorder the terms: 0 = -352 + 48t + -16t2 Solving 0 = -352 + 48t + -16t2 Solving for variable 't'. Combine like terms: 0 + 352 = 352 352 + -48t + 16t2 = -352 + 48t + -16t2 + 352 + -48t + 16t2 Reorder the terms: 352 + -48t + 16t2 = -352 + 352 + 48t + -48t + -16t2 + 16t2 Combine like terms: -352 + 352 = 0 352 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2 352 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2 Combine like terms: 48t + -48t = 0 352 + -48t + 16t2 = 0 + -16t2 + 16t2 352 + -48t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 352 + -48t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(22 + -3t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(22 + -3t + t2)' equal to zero and attempt to solve: Simplifying 22 + -3t + t2 = 0 Solving 22 + -3t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -3t + -22 + t2 = 0 + -22 Reorder the terms: 22 + -22 + -3t + t2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3t + t2 = 0 + -22 -3t + t2 = 0 + -22 Combine like terms: 0 + -22 = -22 -3t + t2 = -22 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = -22 + 2.25 Reorder the terms: 2.25 + -3t + t2 = -22 + 2.25 Combine like terms: -22 + 2.25 = -19.75 2.25 + -3t + t2 = -19.75 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = -19.75 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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