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Simplifying 0 = 16t2 + -27t Reorder the terms: 0 = -27t + 16t2 Solving 0 = -27t + 16t2 Solving for variable 't'. Remove the zero: 27t + -16t2 = -27t + 16t2 + 27t + -16t2 Reorder the terms: 27t + -16t2 = -27t + 27t + 16t2 + -16t2 Combine like terms: -27t + 27t = 0 27t + -16t2 = 0 + 16t2 + -16t2 27t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 27t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(27 + -16t) = 0Subproblem 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 + -16t)' equal to zero and attempt to solve: Simplifying 27 + -16t = 0 Solving 27 + -16t = 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 + -16t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -16t = 0 + -27 -16t = 0 + -27 Combine like terms: 0 + -27 = -27 -16t = -27 Divide each side by '-16'. t = 1.6875 Simplifying t = 1.6875Solution
t = {0, 1.6875}
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