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Simplifying 0 = 5t2 + -11t + -12 Reorder the terms: 0 = -12 + -11t + 5t2 Solving 0 = -12 + -11t + 5t2 Solving for variable 't'. Combine like terms: 0 + 12 = 12 12 + 11t + -5t2 = -12 + -11t + 5t2 + 12 + 11t + -5t2 Reorder the terms: 12 + 11t + -5t2 = -12 + 12 + -11t + 11t + 5t2 + -5t2 Combine like terms: -12 + 12 = 0 12 + 11t + -5t2 = 0 + -11t + 11t + 5t2 + -5t2 12 + 11t + -5t2 = -11t + 11t + 5t2 + -5t2 Combine like terms: -11t + 11t = 0 12 + 11t + -5t2 = 0 + 5t2 + -5t2 12 + 11t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 12 + 11t + -5t2 = 0 Factor a trinomial. (3 + -1t)(4 + 5t) = 0Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Subproblem 2
Set the factor '(4 + 5t)' equal to zero and attempt to solve: Simplifying 4 + 5t = 0 Solving 4 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = 0 + -4 5t = 0 + -4 Combine like terms: 0 + -4 = -4 5t = -4 Divide each side by '5'. t = -0.8 Simplifying t = -0.8Solution
t = {3, -0.8}
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