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Simplifying 1440 = 16t + 16t2 Solving 1440 = 16t + 16t2 Solving for variable 't'. Reorder the terms: 1440 + -16t + -16t2 = 16t + -16t + 16t2 + -16t2 Combine like terms: 16t + -16t = 0 1440 + -16t + -16t2 = 0 + 16t2 + -16t2 1440 + -16t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 1440 + -16t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(90 + -1t + -1t2) = 0 Factor a trinomial. 16((9 + -1t)(10 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 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 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Subproblem 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 = {9, -10}
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