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Simplifying t(6t + -7) = 3 Reorder the terms: t(-7 + 6t) = 3 (-7 * t + 6t * t) = 3 (-7t + 6t2) = 3 Solving -7t + 6t2 = 3 Solving for variable 't'. Reorder the terms: -3 + -7t + 6t2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -7t + 6t2 = 0 Factor a trinomial. (-1 + -3t)(3 + -2t) = 0Subproblem 1
Set the factor '(-1 + -3t)' equal to zero and attempt to solve: Simplifying -1 + -3t = 0 Solving -1 + -3t = 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 + -3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 0 + 1 -3t = 0 + 1 Combine like terms: 0 + 1 = 1 -3t = 1 Divide each side by '-3'. t = -0.3333333333 Simplifying t = -0.3333333333Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Solution
t = {-0.3333333333, 1.5}
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