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Simplifying -16T2 + 112T = 704 Reorder the terms: 112T + -16T2 = 704 Solving 112T + -16T2 = 704 Solving for variable 'T'. Reorder the terms: -704 + 112T + -16T2 = 704 + -704 Combine like terms: 704 + -704 = 0 -704 + 112T + -16T2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-44 + 7T + -1T2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-44 + 7T + -1T2)' equal to zero and attempt to solve: Simplifying -44 + 7T + -1T2 = 0 Solving -44 + 7T + -1T2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 44 + -7T + T2 = 0 Move the constant term to the right: Add '-44' to each side of the equation. 44 + -7T + -44 + T2 = 0 + -44 Reorder the terms: 44 + -44 + -7T + T2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -7T + T2 = 0 + -44 -7T + T2 = 0 + -44 Combine like terms: 0 + -44 = -44 -7T + T2 = -44 The T term is -7T. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7T + 12.25 + T2 = -44 + 12.25 Reorder the terms: 12.25 + -7T + T2 = -44 + 12.25 Combine like terms: -44 + 12.25 = -31.75 12.25 + -7T + T2 = -31.75 Factor a perfect square on the left side: (T + -3.5)(T + -3.5) = -31.75 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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