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Simplifying -16t2 + -38t + -30 = 0 Reorder the terms: -30 + -38t + -16t2 = 0 Solving -30 + -38t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-2'. -2(15 + 19t + 8t2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(15 + 19t + 8t2)' equal to zero and attempt to solve: Simplifying 15 + 19t + 8t2 = 0 Solving 15 + 19t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + 2.375t + t2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 2.375t + -1.875 + t2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 2.375t + t2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 2.375t + t2 = 0 + -1.875 2.375t + t2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 2.375t + t2 = -1.875 The t term is 2.375t. Take half its coefficient (1.1875). Square it (1.41015625) and add it to both sides. Add '1.41015625' to each side of the equation. 2.375t + 1.41015625 + t2 = -1.875 + 1.41015625 Reorder the terms: 1.41015625 + 2.375t + t2 = -1.875 + 1.41015625 Combine like terms: -1.875 + 1.41015625 = -0.46484375 1.41015625 + 2.375t + t2 = -0.46484375 Factor a perfect square on the left side: (t + 1.1875)(t + 1.1875) = -0.46484375 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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