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Simplifying -5t2 + 21.9t = 24 Reorder the terms: 21.9t + -5t2 = 24 Solving 21.9t + -5t2 = 24 Solving for variable 't'. Reorder the terms: -24 + 21.9t + -5t2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 21.9t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 4.8 + -4.38t + t2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -4.38t + -4.8 + t2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -4.38t + t2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -4.38t + t2 = 0 + -4.8 -4.38t + t2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -4.38t + t2 = -4.8 The t term is -4.38t. Take half its coefficient (-2.19). Square it (4.7961) and add it to both sides. Add '4.7961' to each side of the equation. -4.38t + 4.7961 + t2 = -4.8 + 4.7961 Reorder the terms: 4.7961 + -4.38t + t2 = -4.8 + 4.7961 Combine like terms: -4.8 + 4.7961 = -0.0039 4.7961 + -4.38t + t2 = -0.0039 Factor a perfect square on the left side: (t + -2.19)(t + -2.19) = -0.0039 Can't calculate square root of the right side. The solution to this equation could not be determined.
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