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Simplifying 35t2 + -5t = 0 Reorder the terms: -5t + 35t2 = 0 Solving -5t + 35t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(-1 + 7t) = 0 Ignore the factor 5.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 '(-1 + 7t)' equal to zero and attempt to solve: Simplifying -1 + 7t = 0 Solving -1 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7t = 0 + 1 7t = 0 + 1 Combine like terms: 0 + 1 = 1 7t = 1 Divide each side by '7'. t = 0.1428571429 Simplifying t = 0.1428571429Solution
t = {0, 0.1428571429}
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