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Simplifying 30t2 + -19t + -4 = 0 Reorder the terms: -4 + -19t + 30t2 = 0 Solving -4 + -19t + 30t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -6t)(4 + -5t) = 0Subproblem 1
Set the factor '(-1 + -6t)' equal to zero and attempt to solve: Simplifying -1 + -6t = 0 Solving -1 + -6t = 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 + -6t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6t = 0 + 1 -6t = 0 + 1 Combine like terms: 0 + 1 = 1 -6t = 1 Divide each side by '-6'. t = -0.1666666667 Simplifying t = -0.1666666667Subproblem 2
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 = 0.8Solution
t = {-0.1666666667, 0.8}
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