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Simplifying -7t + 3t2 + -40 = 0 Reorder the terms: -40 + -7t + 3t2 = 0 Solving -40 + -7t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -3t)(5 + -1t) = 0Subproblem 1
Set the factor '(-8 + -3t)' equal to zero and attempt to solve: Simplifying -8 + -3t = 0 Solving -8 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3t = 0 + 8 -3t = 0 + 8 Combine like terms: 0 + 8 = 8 -3t = 8 Divide each side by '-3'. t = -2.666666667 Simplifying t = -2.666666667Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {-2.666666667, 5}
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