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Simplifying 9t2 + -174t + 840 = 0 Reorder the terms: 840 + -174t + 9t2 = 0 Solving 840 + -174t + 9t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(280 + -58t + 3t2) = 0 Factor a trinomial. 3((28 + -3t)(10 + -1t)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(28 + -3t)' equal to zero and attempt to solve: Simplifying 28 + -3t = 0 Solving 28 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3t = 0 + -28 -3t = 0 + -28 Combine like terms: 0 + -28 = -28 -3t = -28 Divide each side by '-3'. t = 9.333333333 Simplifying t = 9.333333333Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {9.333333333, 10}
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