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Simplifying 3t3 + 13t3 + 12t = 0 Reorder the terms: 12t + 3t3 + 13t3 = 0 Combine like terms: 3t3 + 13t3 = 16t3 12t + 16t3 = 0 Solving 12t + 16t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(3 + 4t2) = 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 + 4t2)' equal to zero and attempt to solve: Simplifying 3 + 4t2 = 0 Solving 3 + 4t2 = 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 + 4t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4t2 = 0 + -3 4t2 = 0 + -3 Combine like terms: 0 + -3 = -3 4t2 = -3 Divide each side by '4'. t2 = -0.75 Simplifying t2 = -0.75 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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