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Simplifying 3t2 + 14t2 + 8t = 0 Reorder the terms: 8t + 3t2 + 14t2 = 0 Combine like terms: 3t2 + 14t2 = 17t2 8t + 17t2 = 0 Solving 8t + 17t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(8 + 17t) = 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 '(8 + 17t)' equal to zero and attempt to solve: Simplifying 8 + 17t = 0 Solving 8 + 17t = 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 + 17t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 17t = 0 + -8 17t = 0 + -8 Combine like terms: 0 + -8 = -8 17t = -8 Divide each side by '17'. t = -0.4705882353 Simplifying t = -0.4705882353Solution
t = {0, -0.4705882353}
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