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Simplifying 256 = (-16t2) + 126t Reorder the terms: 256 = 126t + (-16t2) Solving 256 = 126t + (-16t2) Solving for variable 't'. Reorder the terms: 256 + -126t + (16t2) = 126t + -126t + (-16t2) + (16t2) Combine like terms: 126t + -126t = 0 256 + -126t + (16t2) = 0 + (-16t2) + (16t2) 256 + -126t + (16t2) = (-16t2) + (16t2) Combine like terms: (-16t2) + (16t2) = 0 256 + -126t + (16t2) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(128 + -63t + (8t2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(128 + -63t + (8t2))' equal to zero and attempt to solve: Simplifying 128 + -63t + (8t2) = 0 Solving 128 + -63t + (8t2) = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 16 + -7.875t + t2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -7.875t + -16 + t2 = 0 + -16 Reorder the terms: 16 + -16 + -7.875t + t2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7.875t + t2 = 0 + -16 -7.875t + t2 = 0 + -16 Combine like terms: 0 + -16 = -16 -7.875t + t2 = -16 The t term is -7.875t. Take half its coefficient (-3.9375). Square it (15.50390625) and add it to both sides. Add '15.50390625' to each side of the equation. -7.875t + 15.50390625 + t2 = -16 + 15.50390625 Reorder the terms: 15.50390625 + -7.875t + t2 = -16 + 15.50390625 Combine like terms: -16 + 15.50390625 = -0.49609375 15.50390625 + -7.875t + t2 = -0.49609375 Factor a perfect square on the left side: ((t) + -3.9375)((t) + -3.9375) = -0.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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