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Simplifying -16t2 + -30t + 124 = 0 Reorder the terms: 124 + -30t + -16t2 = 0 Solving 124 + -30t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(62 + -15t + -8t2) = 0 Factor a trinomial. 2((2 + -1t)(31 + 8t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(31 + 8t)' equal to zero and attempt to solve: Simplifying 31 + 8t = 0 Solving 31 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 8t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 8t = 0 + -31 8t = 0 + -31 Combine like terms: 0 + -31 = -31 8t = -31 Divide each side by '8'. t = -3.875 Simplifying t = -3.875Solution
t = {2, -3.875}
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