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Simplifying 0 = 162t + -192t2 Solving 0 = 162t + -192t2 Solving for variable 't'. Remove the zero: -162t + 192t2 = 162t + -192t2 + -162t + 192t2 Reorder the terms: -162t + 192t2 = 162t + -162t + -192t2 + 192t2 Combine like terms: 162t + -162t = 0 -162t + 192t2 = 0 + -192t2 + 192t2 -162t + 192t2 = -192t2 + 192t2 Combine like terms: -192t2 + 192t2 = 0 -162t + 192t2 = 0 Factor out the Greatest Common Factor (GCF), '6t'. 6t(-27 + 32t) = 0 Ignore the factor 6.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 '(-27 + 32t)' equal to zero and attempt to solve: Simplifying -27 + 32t = 0 Solving -27 + 32t = 0 Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 32t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 32t = 0 + 27 32t = 0 + 27 Combine like terms: 0 + 27 = 27 32t = 27 Divide each side by '32'. t = 0.84375 Simplifying t = 0.84375Solution
t = {0, 0.84375}
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