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Simplifying 3t2 + 4t + -20 = 0 Reorder the terms: -20 + 4t + 3t2 = 0 Solving -20 + 4t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (-10 + -3t)(2 + -1t) = 0Subproblem 1
Set the factor '(-10 + -3t)' equal to zero and attempt to solve: Simplifying -10 + -3t = 0 Solving -10 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3t = 0 + 10 -3t = 0 + 10 Combine like terms: 0 + 10 = 10 -3t = 10 Divide each side by '-3'. t = -3.333333333 Simplifying t = -3.333333333Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-3.333333333, 2}
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