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Simplifying -16t3 + 15t2 = 0 Reorder the terms: 15t2 + -16t3 = 0 Solving 15t2 + -16t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't2'. t2(15 + -16t) = 0Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(15 + -16t)' equal to zero and attempt to solve: Simplifying 15 + -16t = 0 Solving 15 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -16t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -16t = 0 + -15 -16t = 0 + -15 Combine like terms: 0 + -15 = -15 -16t = -15 Divide each side by '-16'. t = 0.9375 Simplifying t = 0.9375Solution
t = {0, 0.9375}
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