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Simplifying 6t2 + -31t + -30 = 0 Reorder the terms: -30 + -31t + 6t2 = 0 Solving -30 + -31t + 6t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -6t)(6 + -1t) = 0Subproblem 1
Set the factor '(-5 + -6t)' equal to zero and attempt to solve: Simplifying -5 + -6t = 0 Solving -5 + -6t = 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 + -6t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6t = 0 + 5 -6t = 0 + 5 Combine like terms: 0 + 5 = 5 -6t = 5 Divide each side by '-6'. t = -0.8333333333 Simplifying t = -0.8333333333Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 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 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {-0.8333333333, 6}
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