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Simplifying 0 = (81 + 162t2 + 81t4) Remove parenthesis around (81 + 162t2 + 81t4) 0 = 81 + 162t2 + 81t4 Solving 0 = 81 + 162t2 + 81t4 Solving for variable 't'. Combine like terms: 0 + -81 = -81 -81 + -162t2 + -81t4 = 81 + 162t2 + 81t4 + -81 + -162t2 + -81t4 Reorder the terms: -81 + -162t2 + -81t4 = 81 + -81 + 162t2 + -162t2 + 81t4 + -81t4 Combine like terms: 81 + -81 = 0 -81 + -162t2 + -81t4 = 0 + 162t2 + -162t2 + 81t4 + -81t4 -81 + -162t2 + -81t4 = 162t2 + -162t2 + 81t4 + -81t4 Combine like terms: 162t2 + -162t2 = 0 -81 + -162t2 + -81t4 = 0 + 81t4 + -81t4 -81 + -162t2 + -81t4 = 81t4 + -81t4 Combine like terms: 81t4 + -81t4 = 0 -81 + -162t2 + -81t4 = 0 Factor out the Greatest Common Factor (GCF), '-81'. -81(1 + 2t2 + t4) = 0 Factor a trinomial. -81((1 + t2)(1 + t2)) = 0 Ignore the factor -81.Subproblem 1
Set the factor '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Simplifying t2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Simplifying t2 = -1 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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