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Simplifying 2t2 + 16t + 480 = 0 Reorder the terms: 480 + 16t + 2t2 = 0 Solving 480 + 16t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(240 + 8t + t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(240 + 8t + t2)' equal to zero and attempt to solve: Simplifying 240 + 8t + t2 = 0 Solving 240 + 8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-240' to each side of the equation. 240 + 8t + -240 + t2 = 0 + -240 Reorder the terms: 240 + -240 + 8t + t2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + 8t + t2 = 0 + -240 8t + t2 = 0 + -240 Combine like terms: 0 + -240 = -240 8t + t2 = -240 The t term is 8t. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8t + 16 + t2 = -240 + 16 Reorder the terms: 16 + 8t + t2 = -240 + 16 Combine like terms: -240 + 16 = -224 16 + 8t + t2 = -224 Factor a perfect square on the left side: (t + 4)(t + 4) = -224 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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