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Simplifying 19t(t) + -36t + -4 = 0 Multiply t * t 19t2 + -36t + -4 = 0 Reorder the terms: -4 + -36t + 19t2 = 0 Solving -4 + -36t + 19t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -19t)(2 + -1t) = 0Subproblem 1
Set the factor '(-2 + -19t)' equal to zero and attempt to solve: Simplifying -2 + -19t = 0 Solving -2 + -19t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -19t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -19t = 0 + 2 -19t = 0 + 2 Combine like terms: 0 + 2 = 2 -19t = 2 Divide each side by '-19'. t = -0.1052631579 Simplifying t = -0.1052631579Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-0.1052631579, 2}
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