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Simplifying -2t[8 + -1(-1t)] + 5t = 0 Remove parenthesis around (-1t) -2t[8 + -1 * -1t] + 5t = 0 Multiply -1 * -1 -2t[8 + 1t] + 5t = 0 [8 * -2t + 1t * -2t] + 5t = 0 [-16t + -2t2] + 5t = 0 Reorder the terms: -16t + 5t + -2t2 = 0 Combine like terms: -16t + 5t = -11t -11t + -2t2 = 0 Solving -11t + -2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1t'. -1t(11 + 2t) = 0 Ignore the factor -1.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(11 + 2t)' equal to zero and attempt to solve: Simplifying 11 + 2t = 0 Solving 11 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2t = 0 + -11 2t = 0 + -11 Combine like terms: 0 + -11 = -11 2t = -11 Divide each side by '2'. t = -5.5 Simplifying t = -5.5Solution
t = {0, -5.5}
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