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Simplifying 30t2 + -49t + 20 = 0 Reorder the terms: 20 + -49t + 30t2 = 0 Solving 20 + -49t + 30t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -5t)(5 + -6t) = 0Subproblem 1
Set the factor '(4 + -5t)' equal to zero and attempt to solve: Simplifying 4 + -5t = 0 Solving 4 + -5t = 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 + -5t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = 0 + -4 -5t = 0 + -4 Combine like terms: 0 + -4 = -4 -5t = -4 Divide each side by '-5'. t = 0.8 Simplifying t = 0.8Subproblem 2
Set the factor '(5 + -6t)' equal to zero and attempt to solve: Simplifying 5 + -6t = 0 Solving 5 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6t = 0 + -5 -6t = 0 + -5 Combine like terms: 0 + -5 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333Solution
t = {0.8, 0.8333333333}
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