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Simplifying 2t(5t + -3) = 0 Reorder the terms: 2t(-3 + 5t) = 0 (-3 * 2t + 5t * 2t) = 0 (-6t + 10t2) = 0 Solving -6t + 10t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-3 + 5t) = 0 Ignore the factor 2.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 + 5t)' equal to zero and attempt to solve: Simplifying -3 + 5t = 0 Solving -3 + 5t = 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 + 5t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5t = 0 + 3 5t = 0 + 3 Combine like terms: 0 + 3 = 3 5t = 3 Divide each side by '5'. t = 0.6 Simplifying t = 0.6Solution
t = {0, 0.6}
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