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Simplifying (3t2 + 9)(3t2 + 9) = 0 Reorder the terms: (9 + 3t2)(3t2 + 9) = 0 Reorder the terms: (9 + 3t2)(9 + 3t2) = 0 Multiply (9 + 3t2) * (9 + 3t2) (9(9 + 3t2) + 3t2 * (9 + 3t2)) = 0 ((9 * 9 + 3t2 * 9) + 3t2 * (9 + 3t2)) = 0 ((81 + 27t2) + 3t2 * (9 + 3t2)) = 0 (81 + 27t2 + (9 * 3t2 + 3t2 * 3t2)) = 0 (81 + 27t2 + (27t2 + 9t4)) = 0 Combine like terms: 27t2 + 27t2 = 54t2 (81 + 54t2 + 9t4) = 0 Solving 81 + 54t2 + 9t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '9'. 9(9 + 6t2 + t4) = 0 Factor a trinomial. 9((3 + t2)(3 + t2)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(3 + t2)' equal to zero and attempt to solve: Simplifying 3 + t2 = 0 Solving 3 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t2 = 0 + -3 t2 = 0 + -3 Combine like terms: 0 + -3 = -3 t2 = -3 Simplifying t2 = -3 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 '(3 + t2)' equal to zero and attempt to solve: Simplifying 3 + t2 = 0 Solving 3 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t2 = 0 + -3 t2 = 0 + -3 Combine like terms: 0 + -3 = -3 t2 = -3 Simplifying t2 = -3 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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