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Simplifying t(10t + -19) = -7 Reorder the terms: t(-19 + 10t) = -7 (-19 * t + 10t * t) = -7 (-19t + 10t2) = -7 Solving -19t + 10t2 = -7 Solving for variable 't'. Reorder the terms: 7 + -19t + 10t2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -19t + 10t2 = 0 Factor a trinomial. (1 + -2t)(7 + -5t) = 0Subproblem 1
Set the factor '(1 + -2t)' equal to zero and attempt to solve: Simplifying 1 + -2t = 0 Solving 1 + -2t = 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 + -2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 0 + -1 -2t = 0 + -1 Combine like terms: 0 + -1 = -1 -2t = -1 Divide each side by '-2'. t = 0.5 Simplifying t = 0.5Subproblem 2
Set the factor '(7 + -5t)' equal to zero and attempt to solve: Simplifying 7 + -5t = 0 Solving 7 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = 0 + -7 -5t = 0 + -7 Combine like terms: 0 + -7 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4Solution
t = {0.5, 1.4}
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