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Simplifying 3t2 + -20 = 7t Reorder the terms: -20 + 3t2 = 7t Solving -20 + 3t2 = 7t Solving for variable 't'. Reorder the terms: -20 + -7t + 3t2 = 7t + -7t Combine like terms: 7t + -7t = 0 -20 + -7t + 3t2 = 0 Factor a trinomial. (-5 + -3t)(4 + -1t) = 0Subproblem 1
Set the factor '(-5 + -3t)' equal to zero and attempt to solve: Simplifying -5 + -3t = 0 Solving -5 + -3t = 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 + -3t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = 0 + 5 -3t = 0 + 5 Combine like terms: 0 + 5 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-1.666666667, 4}
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