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Simplifying -16t2 + 48t + 160 = 160 Reorder the terms: 160 + 48t + -16t2 = 160 Add '-160' to each side of the equation. 160 + 48t + -160 + -16t2 = 160 + -160 Reorder the terms: 160 + -160 + 48t + -16t2 = 160 + -160 Combine like terms: 160 + -160 = 0 0 + 48t + -16t2 = 160 + -160 48t + -16t2 = 160 + -160 Combine like terms: 160 + -160 = 0 48t + -16t2 = 0 Solving 48t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(3 + -1t) = 0 Ignore the factor 16.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 '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {0, 3}
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