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Simplifying 0 = 6t(t + 3) Reorder the terms: 0 = 6t(3 + t) 0 = (3 * 6t + t * 6t) 0 = (18t + 6t2) Solving 0 = 18t + 6t2 Solving for variable 't'. Remove the zero: -18t + -6t2 = 18t + 6t2 + -18t + -6t2 Reorder the terms: -18t + -6t2 = 18t + -18t + 6t2 + -6t2 Combine like terms: 18t + -18t = 0 -18t + -6t2 = 0 + 6t2 + -6t2 -18t + -6t2 = 6t2 + -6t2 Combine like terms: 6t2 + -6t2 = 0 -18t + -6t2 = 0 Factor out the Greatest Common Factor (GCF), '-6t'. -6t(3 + t) = 0 Ignore the factor -6.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 '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 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 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {0, -3}
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