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Simplifying 12 = 5t + -1t2 + 4 Reorder the terms: 12 = 4 + 5t + -1t2 Solving 12 = 4 + 5t + -1t2 Solving for variable 't'. Combine like terms: 12 + -4 = 8 8 + -5t + t2 = 4 + 5t + -1t2 + -4 + -5t + t2 Reorder the terms: 8 + -5t + t2 = 4 + -4 + 5t + -5t + -1t2 + t2 Combine like terms: 4 + -4 = 0 8 + -5t + t2 = 0 + 5t + -5t + -1t2 + t2 8 + -5t + t2 = 5t + -5t + -1t2 + t2 Combine like terms: 5t + -5t = 0 8 + -5t + t2 = 0 + -1t2 + t2 8 + -5t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 8 + -5t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5t + -8 + t2 = 0 + -8 Reorder the terms: 8 + -8 + -5t + t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5t + t2 = 0 + -8 -5t + t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5t + t2 = -8 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 = -8 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5t + t2 = -1.75 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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