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Simplifying -4t(t + 3)(t + 3)(t + 3) = 0 Reorder the terms: -4t(3 + t)(t + 3)(t + 3) = 0 Reorder the terms: -4t(3 + t)(3 + t)(t + 3) = 0 Reorder the terms: -4t(3 + t)(3 + t)(3 + t) = 0 Multiply (3 + t) * (3 + t) -4t(3(3 + t) + t(3 + t))(3 + t) = 0 -4t((3 * 3 + t * 3) + t(3 + t))(3 + t) = 0 -4t((9 + 3t) + t(3 + t))(3 + t) = 0 -4t(9 + 3t + (3 * t + t * t))(3 + t) = 0 -4t(9 + 3t + (3t + t2))(3 + t) = 0 Combine like terms: 3t + 3t = 6t -4t(9 + 6t + t2)(3 + t) = 0 Multiply (9 + 6t + t2) * (3 + t) -4t(9(3 + t) + 6t * (3 + t) + t2(3 + t)) = 0 -4t((3 * 9 + t * 9) + 6t * (3 + t) + t2(3 + t)) = 0 -4t((27 + 9t) + 6t * (3 + t) + t2(3 + t)) = 0 -4t(27 + 9t + (3 * 6t + t * 6t) + t2(3 + t)) = 0 -4t(27 + 9t + (18t + 6t2) + t2(3 + t)) = 0 -4t(27 + 9t + 18t + 6t2 + (3 * t2 + t * t2)) = 0 -4t(27 + 9t + 18t + 6t2 + (3t2 + t3)) = 0 Combine like terms: 9t + 18t = 27t -4t(27 + 27t + 6t2 + 3t2 + t3) = 0 Combine like terms: 6t2 + 3t2 = 9t2 -4t(27 + 27t + 9t2 + t3) = 0 (27 * -4t + 27t * -4t + 9t2 * -4t + t3 * -4t) = 0 (-108t + -108t2 + -36t3 + -4t4) = 0 Solving -108t + -108t2 + -36t3 + -4t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-4t'. -4t(27 + 27t + 9t2 + t3) = 0 Ignore the factor -4.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(27 + 27t + 9t2 + t3)' equal to zero and attempt to solve: Simplifying 27 + 27t + 9t2 + t3 = 0 Solving 27 + 27t + 9t2 + t3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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