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Simplifying 3t2 + -17t + 18 = 46 Reorder the terms: 18 + -17t + 3t2 = 46 Solving 18 + -17t + 3t2 = 46 Solving for variable 't'. Reorder the terms: 18 + -46 + -17t + 3t2 = 46 + -46 Combine like terms: 18 + -46 = -28 -28 + -17t + 3t2 = 46 + -46 Combine like terms: 46 + -46 = 0 -28 + -17t + 3t2 = 0 Factor a trinomial. (-4 + -3t)(7 + -1t) = 0Subproblem 1
Set the factor '(-4 + -3t)' equal to zero and attempt to solve: Simplifying -4 + -3t = 0 Solving -4 + -3t = 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 + -3t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3t = 0 + 4 -3t = 0 + 4 Combine like terms: 0 + 4 = 4 -3t = 4 Divide each side by '-3'. t = -1.333333333 Simplifying t = -1.333333333Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {-1.333333333, 7}
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