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Simplifying t = 16t2 + 1050 Reorder the terms: t = 1050 + 16t2 Solving t = 1050 + 16t2 Solving for variable 't'. Reorder the terms: -1050 + t + -16t2 = 1050 + 16t2 + -1050 + -16t2 Reorder the terms: -1050 + t + -16t2 = 1050 + -1050 + 16t2 + -16t2 Combine like terms: 1050 + -1050 = 0 -1050 + t + -16t2 = 0 + 16t2 + -16t2 -1050 + t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -1050 + t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 65.625 + -0.0625t + t2 = 0 Move the constant term to the right: Add '-65.625' to each side of the equation. 65.625 + -0.0625t + -65.625 + t2 = 0 + -65.625 Reorder the terms: 65.625 + -65.625 + -0.0625t + t2 = 0 + -65.625 Combine like terms: 65.625 + -65.625 = 0.000 0.000 + -0.0625t + t2 = 0 + -65.625 -0.0625t + t2 = 0 + -65.625 Combine like terms: 0 + -65.625 = -65.625 -0.0625t + t2 = -65.625 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.0625t + 0.25 + t2 = -65.625 + 0.25 Reorder the terms: 0.25 + -0.0625t + t2 = -65.625 + 0.25 Combine like terms: -65.625 + 0.25 = -65.375 0.25 + -0.0625t + t2 = -65.375 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -65.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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