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Simplifying 50t2 + -5t = 1 Reorder the terms: -5t + 50t2 = 1 Solving -5t + 50t2 = 1 Solving for variable 't'. Reorder the terms: -1 + -5t + 50t2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -5t + 50t2 = 0 Factor a trinomial. (-1 + -10t)(1 + -5t) = 0Subproblem 1
Set the factor '(-1 + -10t)' equal to zero and attempt to solve: Simplifying -1 + -10t = 0 Solving -1 + -10t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10t = 0 + 1 -10t = 0 + 1 Combine like terms: 0 + 1 = 1 -10t = 1 Divide each side by '-10'. t = -0.1 Simplifying t = -0.1Subproblem 2
Set the factor '(1 + -5t)' equal to zero and attempt to solve: Simplifying 1 + -5t = 0 Solving 1 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5t = 0 + -1 -5t = 0 + -1 Combine like terms: 0 + -1 = -1 -5t = -1 Divide each side by '-5'. t = 0.2 Simplifying t = 0.2Solution
t = {-0.1, 0.2}
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