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Simplifying 9t2 + -48t + 39 = 0 Reorder the terms: 39 + -48t + 9t2 = 0 Solving 39 + -48t + 9t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(13 + -16t + 3t2) = 0 Factor a trinomial. 3((1 + -1t)(13 + -3t)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(13 + -3t)' equal to zero and attempt to solve: Simplifying 13 + -3t = 0 Solving 13 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3t = 0 + -13 -3t = 0 + -13 Combine like terms: 0 + -13 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333Solution
t = {1, 4.333333333}
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