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Simplifying 48 + 60t + -18t2 = 0 Solving 48 + 60t + -18t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6'. 6(8 + 10t + -3t2) = 0 Factor a trinomial. 6((4 + -1t)(2 + 3t)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 2
Set the factor '(2 + 3t)' equal to zero and attempt to solve: Simplifying 2 + 3t = 0 Solving 2 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3t = 0 + -2 3t = 0 + -2 Combine like terms: 0 + -2 = -2 3t = -2 Divide each side by '3'. t = -0.6666666667 Simplifying t = -0.6666666667Solution
t = {4, -0.6666666667}
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