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Simplifying 8t2 + -14t + -49 = 0 Reorder the terms: -49 + -14t + 8t2 = 0 Solving -49 + -14t + 8t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -4t)(7 + -2t) = 0Subproblem 1
Set the factor '(-7 + -4t)' equal to zero and attempt to solve: Simplifying -7 + -4t = 0 Solving -7 + -4t = 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 + -4t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4t = 0 + 7 -4t = 0 + 7 Combine like terms: 0 + 7 = 7 -4t = 7 Divide each side by '-4'. t = -1.75 Simplifying t = -1.75Subproblem 2
Set the factor '(7 + -2t)' equal to zero and attempt to solve: Simplifying 7 + -2t = 0 Solving 7 + -2t = 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 + -2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 0 + -7 -2t = 0 + -7 Combine like terms: 0 + -7 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5Solution
t = {-1.75, 3.5}
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