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Simplifying 1048 = 256t + -16t2 Solving 1048 = 256t + -16t2 Solving for variable 't'. Reorder the terms: 1048 + -256t + 16t2 = 256t + -256t + -16t2 + 16t2 Combine like terms: 256t + -256t = 0 1048 + -256t + 16t2 = 0 + -16t2 + 16t2 1048 + -256t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 1048 + -256t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(131 + -32t + 2t2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(131 + -32t + 2t2)' equal to zero and attempt to solve: Simplifying 131 + -32t + 2t2 = 0 Solving 131 + -32t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 65.5 + -16t + t2 = 0 Move the constant term to the right: Add '-65.5' to each side of the equation. 65.5 + -16t + -65.5 + t2 = 0 + -65.5 Reorder the terms: 65.5 + -65.5 + -16t + t2 = 0 + -65.5 Combine like terms: 65.5 + -65.5 = 0.0 0.0 + -16t + t2 = 0 + -65.5 -16t + t2 = 0 + -65.5 Combine like terms: 0 + -65.5 = -65.5 -16t + t2 = -65.5 The t term is -16t. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16t + 64 + t2 = -65.5 + 64 Reorder the terms: 64 + -16t + t2 = -65.5 + 64 Combine like terms: -65.5 + 64 = -1.5 64 + -16t + t2 = -1.5 Factor a perfect square on the left side: (t + -8)(t + -8) = -1.5 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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