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Simplifying 8t2 + -40t + 250 = 0 Reorder the terms: 250 + -40t + 8t2 = 0 Solving 250 + -40t + 8t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(125 + -20t + 4t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(125 + -20t + 4t2)' equal to zero and attempt to solve: Simplifying 125 + -20t + 4t2 = 0 Solving 125 + -20t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 31.25 + -5t + t2 = 0 Move the constant term to the right: Add '-31.25' to each side of the equation. 31.25 + -5t + -31.25 + t2 = 0 + -31.25 Reorder the terms: 31.25 + -31.25 + -5t + t2 = 0 + -31.25 Combine like terms: 31.25 + -31.25 = 0.00 0.00 + -5t + t2 = 0 + -31.25 -5t + t2 = 0 + -31.25 Combine like terms: 0 + -31.25 = -31.25 -5t + t2 = -31.25 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -31.25 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -31.25 + 6.25 Combine like terms: -31.25 + 6.25 = -25 6.25 + -5t + t2 = -25 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -25 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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