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Simplifying 51t2 + 9t = 0 Reorder the terms: 9t + 51t2 = 0 Solving 9t + 51t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(3 + 17t) = 0 Ignore the factor 3.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 + 17t)' equal to zero and attempt to solve: Simplifying 3 + 17t = 0 Solving 3 + 17t = 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 + 17t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 17t = 0 + -3 17t = 0 + -3 Combine like terms: 0 + -3 = -3 17t = -3 Divide each side by '17'. t = -0.1764705882 Simplifying t = -0.1764705882Solution
t = {0, -0.1764705882}
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