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Simplifying 20 = 16t2 + -2t + 20 Reorder the terms: 20 = 20 + -2t + 16t2 Add '-20' to each side of the equation. 20 + -20 = 20 + -2t + -20 + 16t2 Combine like terms: 20 + -20 = 0 0 = 20 + -2t + -20 + 16t2 Reorder the terms: 0 = 20 + -20 + -2t + 16t2 Combine like terms: 20 + -20 = 0 0 = 0 + -2t + 16t2 0 = -2t + 16t2 Solving 0 = -2t + 16t2 Solving for variable 't'. Remove the zero: 2t + -16t2 = -2t + 16t2 + 2t + -16t2 Reorder the terms: 2t + -16t2 = -2t + 2t + 16t2 + -16t2 Combine like terms: -2t + 2t = 0 2t + -16t2 = 0 + 16t2 + -16t2 2t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 2t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(1 + -8t) = 0 Ignore the factor 2.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 '(1 + -8t)' equal to zero and attempt to solve: Simplifying 1 + -8t = 0 Solving 1 + -8t = 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 + -8t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8t = 0 + -1 -8t = 0 + -1 Combine like terms: 0 + -1 = -1 -8t = -1 Divide each side by '-8'. t = 0.125 Simplifying t = 0.125Solution
t = {0, 0.125}
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