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Simplifying 960 = 16t2 + 64t Reorder the terms: 960 = 64t + 16t2 Solving 960 = 64t + 16t2 Solving for variable 't'. Reorder the terms: 960 + -64t + -16t2 = 64t + -64t + 16t2 + -16t2 Combine like terms: 64t + -64t = 0 960 + -64t + -16t2 = 0 + 16t2 + -16t2 960 + -64t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 960 + -64t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(60 + -4t + -1t2) = 0 Factor a trinomial. 16((6 + -1t)(10 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Subproblem 2
Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Solution
t = {6, -10}
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