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Simplifying -16t2 + 16t + -98 = 0 Reorder the terms: -98 + 16t + -16t2 = 0 Solving -98 + 16t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-49 + 8t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-49 + 8t + -8t2)' equal to zero and attempt to solve: Simplifying -49 + 8t + -8t2 = 0 Solving -49 + 8t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 6.125 + -1t + t2 = 0 Move the constant term to the right: Add '-6.125' to each side of the equation. 6.125 + -1t + -6.125 + t2 = 0 + -6.125 Reorder the terms: 6.125 + -6.125 + -1t + t2 = 0 + -6.125 Combine like terms: 6.125 + -6.125 = 0.000 0.000 + -1t + t2 = 0 + -6.125 -1t + t2 = 0 + -6.125 Combine like terms: 0 + -6.125 = -6.125 -1t + t2 = -6.125 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -6.125 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -6.125 + 0.25 Combine like terms: -6.125 + 0.25 = -5.875 0.25 + -1t + t2 = -5.875 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -5.875 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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