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Simplifying 3t2 + -18t + 81 = 0 Reorder the terms: 81 + -18t + 3t2 = 0 Solving 81 + -18t + 3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + -6t + t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(27 + -6t + t2)' equal to zero and attempt to solve: Simplifying 27 + -6t + t2 = 0 Solving 27 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -6t + -27 + t2 = 0 + -27 Reorder the terms: 27 + -27 + -6t + t2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6t + t2 = 0 + -27 -6t + t2 = 0 + -27 Combine like terms: 0 + -27 = -27 -6t + t2 = -27 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -27 + 9 Reorder the terms: 9 + -6t + t2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + -6t + t2 = -18 Factor a perfect square on the left side: (t + -3)(t + -3) = -18 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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