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Simplifying 0 = 16t2 + 47t + 0 Reorder the terms: 0 = 0 + 47t + 16t2 Remove the zero: 0 = 47t + 16t2 Solving 0 = 47t + 16t2 Solving for variable 't'. Remove the zero: -47t + -16t2 = 47t + 16t2 + -47t + -16t2 Reorder the terms: -47t + -16t2 = 47t + -47t + 16t2 + -16t2 Combine like terms: 47t + -47t = 0 -47t + -16t2 = 0 + 16t2 + -16t2 -47t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -47t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(47 + 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 '(47 + 16t)' equal to zero and attempt to solve: Simplifying 47 + 16t = 0 Solving 47 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 16t = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 16t = 0 + -47 16t = 0 + -47 Combine like terms: 0 + -47 = -47 16t = -47 Divide each side by '16'. t = -2.9375 Simplifying t = -2.9375Solution
t = {0, -2.9375}
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