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Simplifying 0 = 16t2 + 31t Reorder the terms: 0 = 31t + 16t2 Solving 0 = 31t + 16t2 Solving for variable 't'. Remove the zero: -31t + -16t2 = 31t + 16t2 + -31t + -16t2 Reorder the terms: -31t + -16t2 = 31t + -31t + 16t2 + -16t2 Combine like terms: 31t + -31t = 0 -31t + -16t2 = 0 + 16t2 + -16t2 -31t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -31t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(31 + 16t) = 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 '(31 + 16t)' equal to zero and attempt to solve: Simplifying 31 + 16t = 0 Solving 31 + 16t = 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 + 16t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 16t = 0 + -31 16t = 0 + -31 Combine like terms: 0 + -31 = -31 16t = -31 Divide each side by '16'. t = -1.9375 Simplifying t = -1.9375Solution
t = {0, -1.9375}
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