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Simplifying 5t(6t + -1) = 0 Reorder the terms: 5t(-1 + 6t) = 0 (-1 * 5t + 6t * 5t) = 0 (-5t + 30t2) = 0 Solving -5t + 30t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(-1 + 6t) = 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 '(-1 + 6t)' equal to zero and attempt to solve: Simplifying -1 + 6t = 0 Solving -1 + 6t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6t = 0 + 1 6t = 0 + 1 Combine like terms: 0 + 1 = 1 6t = 1 Divide each side by '6'. t = 0.1666666667 Simplifying t = 0.1666666667Solution
t = {0, 0.1666666667}
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