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Simplifying (T + 6)(3t + 9) = 0 Reorder the terms: (6 + T)(3t + 9) = 0 Reorder the terms: (6 + T)(9 + 3t) = 0 Multiply (6 + T) * (9 + 3t) (6(9 + 3t) + T(9 + 3t)) = 0 ((9 * 6 + 3t * 6) + T(9 + 3t)) = 0 ((54 + 18t) + T(9 + 3t)) = 0 (54 + 18t + (9 * T + 3t * T)) = 0 (54 + 18t + (9T + 3tT)) = 0 Reorder the terms: (54 + 9T + 18t + 3tT) = 0 (54 + 9T + 18t + 3tT) = 0 Solving 54 + 9T + 18t + 3tT = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 9T + 18t + -54 + 3tT = 0 + -54 Reorder the terms: 54 + -54 + 9T + 18t + 3tT = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 9T + 18t + 3tT = 0 + -54 9T + 18t + 3tT = 0 + -54 Combine like terms: 0 + -54 = -54 9T + 18t + 3tT = -54 Add '-18t' to each side of the equation. 9T + 18t + -18t + 3tT = -54 + -18t Combine like terms: 18t + -18t = 0 9T + 0 + 3tT = -54 + -18t 9T + 3tT = -54 + -18t Reorder the terms: 54 + 9T + 18t + 3tT = -54 + -18t + 54 + 18t Reorder the terms: 54 + 9T + 18t + 3tT = -54 + 54 + -18t + 18t Combine like terms: -54 + 54 = 0 54 + 9T + 18t + 3tT = 0 + -18t + 18t 54 + 9T + 18t + 3tT = -18t + 18t Combine like terms: -18t + 18t = 0 54 + 9T + 18t + 3tT = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(18 + 3T + 6t + tT) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(18 + 3T + 6t + tT)' equal to zero and attempt to solve: Simplifying 18 + 3T + 6t + tT = 0 Solving 18 + 3T + 6t + tT = 0 Move all terms containing T to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3T + 6t + -18 + tT = 0 + -18 Reorder the terms: 18 + -18 + 3T + 6t + tT = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3T + 6t + tT = 0 + -18 3T + 6t + tT = 0 + -18 Combine like terms: 0 + -18 = -18 3T + 6t + tT = -18 Add '-6t' to each side of the equation. 3T + 6t + -6t + tT = -18 + -6t Combine like terms: 6t + -6t = 0 3T + 0 + tT = -18 + -6t 3T + tT = -18 + -6t 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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