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Simplifying 160t2 = 480t + -360 Reorder the terms: 160t2 = -360 + 480t Solving 160t2 = -360 + 480t Solving for variable 't'. Reorder the terms: 360 + -480t + 160t2 = -360 + 480t + 360 + -480t Reorder the terms: 360 + -480t + 160t2 = -360 + 360 + 480t + -480t Combine like terms: -360 + 360 = 0 360 + -480t + 160t2 = 0 + 480t + -480t 360 + -480t + 160t2 = 480t + -480t Combine like terms: 480t + -480t = 0 360 + -480t + 160t2 = 0 Factor out the Greatest Common Factor (GCF), '40'. 40(9 + -12t + 4t2) = 0 Factor a trinomial. 40((3 + -2t)(3 + -2t)) = 0 Ignore the factor 40.Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 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 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 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 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Solution
t = {1.5, 1.5}
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