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Simplifying 16t2 + 16t + 70 = 0 Reorder the terms: 70 + 16t + 16t2 = 0 Solving 70 + 16t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 8t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + 8t + 8t2)' equal to zero and attempt to solve: Simplifying 35 + 8t + 8t2 = 0 Solving 35 + 8t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.375 + t + t2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + t + -4.375 + t2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + t + t2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + t + t2 = 0 + -4.375 t + t2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 t + t2 = -4.375 The t term is t. 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. + 0.25 + t2 = -4.375 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = -4.375 + 0.25 Combine like terms: -4.375 + 0.25 = -4.125 1.25 + t2 = -4.125 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -4.125 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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