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Simplifying 0 = -16t2 + -88t + 720 Reorder the terms: 0 = 720 + -88t + -16t2 Solving 0 = 720 + -88t + -16t2 Solving for variable 't'. Combine like terms: 0 + -720 = -720 -720 + 88t + 16t2 = 720 + -88t + -16t2 + -720 + 88t + 16t2 Reorder the terms: -720 + 88t + 16t2 = 720 + -720 + -88t + 88t + -16t2 + 16t2 Combine like terms: 720 + -720 = 0 -720 + 88t + 16t2 = 0 + -88t + 88t + -16t2 + 16t2 -720 + 88t + 16t2 = -88t + 88t + -16t2 + 16t2 Combine like terms: -88t + 88t = 0 -720 + 88t + 16t2 = 0 + -16t2 + 16t2 -720 + 88t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -720 + 88t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-90 + 11t + 2t2) = 0 Factor a trinomial. 8((-10 + -1t)(9 + -2t)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 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 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 2
Set the factor '(9 + -2t)' equal to zero and attempt to solve: Simplifying 9 + -2t = 0 Solving 9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 0 + -9 -2t = 0 + -9 Combine like terms: 0 + -9 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5Solution
t = {-10, 4.5}
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