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Simplifying 4t2 + -19t + -275 = 0 Reorder the terms: -275 + -19t + 4t2 = 0 Solving -275 + -19t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (-25 + -4t)(11 + -1t) = 0Subproblem 1
Set the factor '(-25 + -4t)' equal to zero and attempt to solve: Simplifying -25 + -4t = 0 Solving -25 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4t = 0 + 25 -4t = 0 + 25 Combine like terms: 0 + 25 = 25 -4t = 25 Divide each side by '-4'. t = -6.25 Simplifying t = -6.25Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Solution
t = {-6.25, 11}
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