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Simplifying 1t2 + -300t + 45000 = 0 Reorder the terms: 45000 + -300t + 1t2 = 0 Solving 45000 + -300t + 1t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-45000' to each side of the equation. 45000 + -300t + -45000 + t2 = 0 + -45000 Reorder the terms: 45000 + -45000 + -300t + t2 = 0 + -45000 Combine like terms: 45000 + -45000 = 0 0 + -300t + t2 = 0 + -45000 -300t + t2 = 0 + -45000 Combine like terms: 0 + -45000 = -45000 -300t + t2 = -45000 The t term is -300t. Take half its coefficient (-150). Square it (22500) and add it to both sides. Add '22500' to each side of the equation. -300t + 22500 + t2 = -45000 + 22500 Reorder the terms: 22500 + -300t + t2 = -45000 + 22500 Combine like terms: -45000 + 22500 = -22500 22500 + -300t + t2 = -22500 Factor a perfect square on the left side: (t + -150)(t + -150) = -22500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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