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Simplifying -16t2 + 96t + -190 = 0 Reorder the terms: -190 + 96t + -16t2 = 0 Solving -190 + 96t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-95 + 48t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-95 + 48t + -8t2)' equal to zero and attempt to solve: Simplifying -95 + 48t + -8t2 = 0 Solving -95 + 48t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 11.875 + -6t + t2 = 0 Move the constant term to the right: Add '-11.875' to each side of the equation. 11.875 + -6t + -11.875 + t2 = 0 + -11.875 Reorder the terms: 11.875 + -11.875 + -6t + t2 = 0 + -11.875 Combine like terms: 11.875 + -11.875 = 0.000 0.000 + -6t + t2 = 0 + -11.875 -6t + t2 = 0 + -11.875 Combine like terms: 0 + -11.875 = -11.875 -6t + t2 = -11.875 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -11.875 + 9 Reorder the terms: 9 + -6t + t2 = -11.875 + 9 Combine like terms: -11.875 + 9 = -2.875 9 + -6t + t2 = -2.875 Factor a perfect square on the left side: (t + -3)(t + -3) = -2.875 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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