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Simplifying 5t(14t + 9) = 0 Reorder the terms: 5t(9 + 14t) = 0 (9 * 5t + 14t * 5t) = 0 (45t + 70t2) = 0 Solving 45t + 70t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(9 + 14t) = 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 '(9 + 14t)' equal to zero and attempt to solve: Simplifying 9 + 14t = 0 Solving 9 + 14t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14t = 0 + -9 14t = 0 + -9 Combine like terms: 0 + -9 = -9 14t = -9 Divide each side by '14'. t = -0.6428571429 Simplifying t = -0.6428571429Solution
t = {0, -0.6428571429}
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