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Simplifying 18 = 2t + 16t2 Solving 18 = 2t + 16t2 Solving for variable 't'. Reorder the terms: 18 + -2t + -16t2 = 2t + -2t + 16t2 + -16t2 Combine like terms: 2t + -2t = 0 18 + -2t + -16t2 = 0 + 16t2 + -16t2 18 + -2t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 18 + -2t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -1t + -8t2) = 0 Factor a trinomial. 2((1 + -1t)(9 + 8t)) = 0 Ignore the factor 2.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 '(9 + 8t)' equal to zero and attempt to solve: Simplifying 9 + 8t = 0 Solving 9 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = 0 + -9 8t = 0 + -9 Combine like terms: 0 + -9 = -9 8t = -9 Divide each side by '8'. t = -1.125 Simplifying t = -1.125Solution
t = {1, -1.125}
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