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Simplifying 3t + -16t2 + 9t = 0 Reorder the terms: 3t + 9t + -16t2 = 0 Combine like terms: 3t + 9t = 12t 12t + -16t2 = 0 Solving 12t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(3 + -4t) = 0 Ignore the factor 4.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 '(3 + -4t)' equal to zero and attempt to solve: Simplifying 3 + -4t = 0 Solving 3 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 0 + -3 -4t = 0 + -3 Combine like terms: 0 + -3 = -3 -4t = -3 Divide each side by '-4'. t = 0.75 Simplifying t = 0.75Solution
t = {0, 0.75}
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