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Simplifying 56(t) = -16t2 + 60t Reorder the terms: 56t = 60t + -16t2 Solving 56t = 60t + -16t2 Solving for variable 't'. Combine like terms: 56t + -60t = -4t -4t + 16t2 = 60t + -16t2 + -60t + 16t2 Reorder the terms: -4t + 16t2 = 60t + -60t + -16t2 + 16t2 Combine like terms: 60t + -60t = 0 -4t + 16t2 = 0 + -16t2 + 16t2 -4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -4t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-1 + 4t) = 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 '(-1 + 4t)' equal to zero and attempt to solve: Simplifying -1 + 4t = 0 Solving -1 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4t = 0 + 1 4t = 0 + 1 Combine like terms: 0 + 1 = 1 4t = 1 Divide each side by '4'. t = 0.25 Simplifying t = 0.25Solution
t = {0, 0.25}
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