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Simplifying 0 = 40t + -15t2 Solving 0 = 40t + -15t2 Solving for variable 't'. Remove the zero: -40t + 15t2 = 40t + -15t2 + -40t + 15t2 Reorder the terms: -40t + 15t2 = 40t + -40t + -15t2 + 15t2 Combine like terms: 40t + -40t = 0 -40t + 15t2 = 0 + -15t2 + 15t2 -40t + 15t2 = -15t2 + 15t2 Combine like terms: -15t2 + 15t2 = 0 -40t + 15t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(-8 + 3t) = 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 '(-8 + 3t)' equal to zero and attempt to solve: Simplifying -8 + 3t = 0 Solving -8 + 3t = 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 + 3t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3t = 0 + 8 3t = 0 + 8 Combine like terms: 0 + 8 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667Solution
t = {0, 2.666666667}
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