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Simplifying -16t2 + -4t + 930 = 0 Reorder the terms: 930 + -4t + -16t2 = 0 Solving 930 + -4t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(465 + -2t + -8t2) = 0 Factor a trinomial. 2((15 + -2t)(31 + 4t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -2t)' equal to zero and attempt to solve: Simplifying 15 + -2t = 0 Solving 15 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = 0 + -15 -2t = 0 + -15 Combine like terms: 0 + -15 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5Subproblem 2
Set the factor '(31 + 4t)' equal to zero and attempt to solve: Simplifying 31 + 4t = 0 Solving 31 + 4t = 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 + 4t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 4t = 0 + -31 4t = 0 + -31 Combine like terms: 0 + -31 = -31 4t = -31 Divide each side by '4'. t = -7.75 Simplifying t = -7.75Solution
t = {7.5, -7.75}
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