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Simplifying 6t(11t + 5) = 0 Reorder the terms: 6t(5 + 11t) = 0 (5 * 6t + 11t * 6t) = 0 (30t + 66t2) = 0 Solving 30t + 66t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(5 + 11t) = 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 '(5 + 11t)' equal to zero and attempt to solve: Simplifying 5 + 11t = 0 Solving 5 + 11t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11t = 0 + -5 11t = 0 + -5 Combine like terms: 0 + -5 = -5 11t = -5 Divide each side by '11'. t = -0.4545454545 Simplifying t = -0.4545454545Solution
t = {0, -0.4545454545}
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