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Simplifying 48 + -6t2 + -2t = 0 Reorder the terms: 48 + -2t + -6t2 = 0 Solving 48 + -2t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -1t + -3t2) = 0 Factor a trinomial. 2((8 + -3t)(3 + t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -3t)' equal to zero and attempt to solve: Simplifying 8 + -3t = 0 Solving 8 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 0 + -8 -3t = 0 + -8 Combine like terms: 0 + -8 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 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 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {2.666666667, -3}
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