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Simplifying 28t2 + -1t + -2 = 0 Reorder the terms: -2 + -1t + 28t2 = 0 Solving -2 + -1t + 28t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -4t)(2 + -7t) = 0Subproblem 1
Set the factor '(-1 + -4t)' equal to zero and attempt to solve: Simplifying -1 + -4t = 0 Solving -1 + -4t = 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 + -4t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4t = 0 + 1 -4t = 0 + 1 Combine like terms: 0 + 1 = 1 -4t = 1 Divide each side by '-4'. t = -0.25 Simplifying t = -0.25Subproblem 2
Set the factor '(2 + -7t)' equal to zero and attempt to solve: Simplifying 2 + -7t = 0 Solving 2 + -7t = 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 + -7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = 0 + -2 -7t = 0 + -2 Combine like terms: 0 + -2 = -2 -7t = -2 Divide each side by '-7'. t = 0.2857142857 Simplifying t = 0.2857142857Solution
t = {-0.25, 0.2857142857}
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