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Simplifying -50(t2) + 80t = 0 Reorder the terms: 80t + -50t2 = 0 Solving 80t + -50t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '10t'. 10t(8 + -5t) = 0 Ignore the factor 10.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 '(8 + -5t)' equal to zero and attempt to solve: Simplifying 8 + -5t = 0 Solving 8 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 0 + -8 -5t = 0 + -8 Combine like terms: 0 + -8 = -8 -5t = -8 Divide each side by '-5'. t = 1.6 Simplifying t = 1.6Solution
t = {0, 1.6}
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