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Simplifying 25t2 + 36 = 60t Reorder the terms: 36 + 25t2 = 60t Solving 36 + 25t2 = 60t Solving for variable 't'. Reorder the terms: 36 + -60t + 25t2 = 60t + -60t Combine like terms: 60t + -60t = 0 36 + -60t + 25t2 = 0 Factor a trinomial. (6 + -5t)(6 + -5t) = 0Subproblem 1
Set the factor '(6 + -5t)' equal to zero and attempt to solve: Simplifying 6 + -5t = 0 Solving 6 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 0 + -6 -5t = 0 + -6 Combine like terms: 0 + -6 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2Subproblem 2
Set the factor '(6 + -5t)' equal to zero and attempt to solve: Simplifying 6 + -5t = 0 Solving 6 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 0 + -6 -5t = 0 + -6 Combine like terms: 0 + -6 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2Solution
t = {1.2, 1.2}
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