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Simplifying 3t2 + 20t2 + 12t = 0 Reorder the terms: 12t + 3t2 + 20t2 = 0 Combine like terms: 3t2 + 20t2 = 23t2 12t + 23t2 = 0 Solving 12t + 23t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(12 + 23t) = 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 '(12 + 23t)' equal to zero and attempt to solve: Simplifying 12 + 23t = 0 Solving 12 + 23t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 23t = 0 + -12 23t = 0 + -12 Combine like terms: 0 + -12 = -12 23t = -12 Divide each side by '23'. t = -0.5217391304 Simplifying t = -0.5217391304Solution
t = {0, -0.5217391304}
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