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Simplifying 16t2 + 25t + 12 = 0 Reorder the terms: 12 + 25t + 16t2 = 0 Solving 12 + 25t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.75 + 1.5625t + t2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 1.5625t + -0.75 + t2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 1.5625t + t2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.5625t + t2 = 0 + -0.75 1.5625t + t2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 1.5625t + t2 = -0.75 The t term is 1.5625t. Take half its coefficient (0.78125). Square it (0.6103515625) and add it to both sides. Add '0.6103515625' to each side of the equation. 1.5625t + 0.6103515625 + t2 = -0.75 + 0.6103515625 Reorder the terms: 0.6103515625 + 1.5625t + t2 = -0.75 + 0.6103515625 Combine like terms: -0.75 + 0.6103515625 = -0.1396484375 0.6103515625 + 1.5625t + t2 = -0.1396484375 Factor a perfect square on the left side: (t + 0.78125)(t + 0.78125) = -0.1396484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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