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Simplifying 5t(11t + 6) = 0 Reorder the terms: 5t(6 + 11t) = 0 (6 * 5t + 11t * 5t) = 0 (30t + 55t2) = 0 Solving 30t + 55t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(6 + 11t) = 0 Ignore the factor 5.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 '(6 + 11t)' equal to zero and attempt to solve: Simplifying 6 + 11t = 0 Solving 6 + 11t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11t = 0 + -6 11t = 0 + -6 Combine like terms: 0 + -6 = -6 11t = -6 Divide each side by '11'. t = -0.5454545455 Simplifying t = -0.5454545455Solution
t = {0, -0.5454545455}
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