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Simplifying -16t2 + -30t + 376 = 0 Reorder the terms: 376 + -30t + -16t2 = 0 Solving 376 + -30t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(188 + -15t + -8t2) = 0 Factor a trinomial. 2((4 + -1t)(47 + 8t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 2
Set the factor '(47 + 8t)' equal to zero and attempt to solve: Simplifying 47 + 8t = 0 Solving 47 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 8t = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 8t = 0 + -47 8t = 0 + -47 Combine like terms: 0 + -47 = -47 8t = -47 Divide each side by '8'. t = -5.875 Simplifying t = -5.875Solution
t = {4, -5.875}
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