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Simplifying 162t + -192t2 = 0 Solving 162t + -192t2 = 0 Solving for variable 't'. 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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