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Simplifying -3t2 + 42t + -99 = 0 Reorder the terms: -99 + 42t + -3t2 = 0 Solving -99 + 42t + -3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(-33 + 14t + -1t2) = 0 Factor a trinomial. 3((-11 + t)(3 + -1t)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + t)' equal to zero and attempt to solve: Simplifying -11 + t = 0 Solving -11 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + t = 0 + 11 t = 0 + 11 Combine like terms: 0 + 11 = 11 t = 11 Simplifying t = 11Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {11, 3}
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