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Simplifying 50t + 3t2 = 2200 Solving 50t + 3t2 = 2200 Solving for variable 't'. Reorder the terms: -2200 + 50t + 3t2 = 2200 + -2200 Combine like terms: 2200 + -2200 = 0 -2200 + 50t + 3t2 = 0 Factor a trinomial. (-110 + -3t)(20 + -1t) = 0Subproblem 1
Set the factor '(-110 + -3t)' equal to zero and attempt to solve: Simplifying -110 + -3t = 0 Solving -110 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + -3t = 0 + 110 Combine like terms: -110 + 110 = 0 0 + -3t = 0 + 110 -3t = 0 + 110 Combine like terms: 0 + 110 = 110 -3t = 110 Divide each side by '-3'. t = -36.66666667 Simplifying t = -36.66666667Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Solution
t = {-36.66666667, 20}
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