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Simplifying 36t3 + 11t = 72t2 Reorder the terms: 11t + 36t3 = 72t2 Solving 11t + 36t3 = 72t2 Solving for variable 't'. Reorder the terms: 11t + -72t2 + 36t3 = 72t2 + -72t2 Combine like terms: 72t2 + -72t2 = 0 11t + -72t2 + 36t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(11 + -72t + 36t2) = 0 Factor a trinomial. t((1 + -6t)(11 + -6t)) = 0Subproblem 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 = 0.1666666667Subproblem 3
Set the factor '(11 + -6t)' equal to zero and attempt to solve: Simplifying 11 + -6t = 0 Solving 11 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6t = 0 + -11 -6t = 0 + -11 Combine like terms: 0 + -11 = -11 -6t = -11 Divide each side by '-6'. t = 1.833333333 Simplifying t = 1.833333333Solution
t = {0, 0.1666666667, 1.833333333}
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