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Simplifying 15t2 + -107t + 144 = 0 Reorder the terms: 144 + -107t + 15t2 = 0 Solving 144 + -107t + 15t2 = 0 Solving for variable 't'. Factor a trinomial. (9 + -5t)(16 + -3t) = 0Subproblem 1
Set the factor '(9 + -5t)' equal to zero and attempt to solve: Simplifying 9 + -5t = 0 Solving 9 + -5t = 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 + -5t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = 0 + -9 -5t = 0 + -9 Combine like terms: 0 + -9 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8Subproblem 2
Set the factor '(16 + -3t)' equal to zero and attempt to solve: Simplifying 16 + -3t = 0 Solving 16 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = 0 + -16 -3t = 0 + -16 Combine like terms: 0 + -16 = -16 -3t = -16 Divide each side by '-3'. t = 5.333333333 Simplifying t = 5.333333333Solution
t = {1.8, 5.333333333}
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