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Simplifying 240t + -6t2 + -2400 = 0 Reorder the terms: -2400 + 240t + -6t2 = 0 Solving -2400 + 240t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6'. 6(-400 + 40t + -1t2) = 0 Factor a trinomial. 6((-20 + t)(20 + -1t)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-20 + t)' equal to zero and attempt to solve: Simplifying -20 + t = 0 Solving -20 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + t = 0 + 20 t = 0 + 20 Combine like terms: 0 + 20 = 20 t = 20 Simplifying t = 20Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Solution
t = {20, 20}
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