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Simplifying 3t2 + -40t = 128 Reorder the terms: -40t + 3t2 = 128 Solving -40t + 3t2 = 128 Solving for variable 't'. Reorder the terms: -128 + -40t + 3t2 = 128 + -128 Combine like terms: 128 + -128 = 0 -128 + -40t + 3t2 = 0 Factor a trinomial. (-8 + -3t)(16 + -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 '(16 + -1t)' equal to zero and attempt to solve: Simplifying 16 + -1t = 0 Solving 16 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = 0 + -16 -1t = 0 + -16 Combine like terms: 0 + -16 = -16 -1t = -16 Divide each side by '-1'. t = 16 Simplifying t = 16Solution
t = {-2.666666667, 16}
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