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Simplifying 9t2 + 60t + 100 = 0 Reorder the terms: 100 + 60t + 9t2 = 0 Solving 100 + 60t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (10 + 3t)(10 + 3t) = 0Subproblem 1
Set the factor '(10 + 3t)' equal to zero and attempt to solve: Simplifying 10 + 3t = 0 Solving 10 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 0 + -10 3t = 0 + -10 Combine like terms: 0 + -10 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333Subproblem 2
Set the factor '(10 + 3t)' equal to zero and attempt to solve: Simplifying 10 + 3t = 0 Solving 10 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 0 + -10 3t = 0 + -10 Combine like terms: 0 + -10 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333Solution
t = {-3.333333333, -3.333333333}
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