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Simplifying 32t + 12t2 = 0 Solving 32t + 12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(8 + 3t) = 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 '(8 + 3t)' equal to zero and attempt to solve: Simplifying 8 + 3t = 0 Solving 8 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = 0 + -8 3t = 0 + -8 Combine like terms: 0 + -8 = -8 3t = -8 Divide each side by '3'. t = -2.666666667 Simplifying t = -2.666666667Solution
t = {0, -2.666666667}
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