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Simplifying -16t2 + 160t + -1200 = 0 Reorder the terms: -1200 + 160t + -16t2 = 0 Solving -1200 + 160t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(-75 + 10t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-75 + 10t + -1t2)' equal to zero and attempt to solve: Simplifying -75 + 10t + -1t2 = 0 Solving -75 + 10t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 75 + -10t + t2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -10t + -75 + t2 = 0 + -75 Reorder the terms: 75 + -75 + -10t + t2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -10t + t2 = 0 + -75 -10t + t2 = 0 + -75 Combine like terms: 0 + -75 = -75 -10t + t2 = -75 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = -75 + 25 Reorder the terms: 25 + -10t + t2 = -75 + 25 Combine like terms: -75 + 25 = -50 25 + -10t + t2 = -50 Factor a perfect square on the left side: (t + -5)(t + -5) = -50 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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