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Simplifying 64 = -4t2 + 40t Reorder the terms: 64 = 40t + -4t2 Solving 64 = 40t + -4t2 Solving for variable 't'. Reorder the terms: 64 + -40t + 4t2 = 40t + -40t + -4t2 + 4t2 Combine like terms: 40t + -40t = 0 64 + -40t + 4t2 = 0 + -4t2 + 4t2 64 + -40t + 4t2 = -4t2 + 4t2 Combine like terms: -4t2 + 4t2 = 0 64 + -40t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -10t + t2) = 0 Factor a trinomial. 4((2 + -1t)(8 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 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 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Solution
t = {2, 8}
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