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Simplifying 4t(9t + 5) = 0 Reorder the terms: 4t(5 + 9t) = 0 (5 * 4t + 9t * 4t) = 0 (20t + 36t2) = 0 Solving 20t + 36t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(5 + 9t) = 0 Ignore the factor 4.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 '(5 + 9t)' equal to zero and attempt to solve: Simplifying 5 + 9t = 0 Solving 5 + 9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9t = 0 + -5 9t = 0 + -5 Combine like terms: 0 + -5 = -5 9t = -5 Divide each side by '9'. t = -0.5555555556 Simplifying t = -0.5555555556Solution
t = {0, -0.5555555556}
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