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Simplifying 4t2 + -13t + -75 = 0 Reorder the terms: -75 + -13t + 4t2 = 0 Solving -75 + -13t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -1t)(25 + -4t) = 0Subproblem 1
Set the factor '(-3 + -1t)' equal to zero and attempt to solve: Simplifying -3 + -1t = 0 Solving -3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = 0 + 3 -1t = 0 + 3 Combine like terms: 0 + 3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3Subproblem 2
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 = 6.25Solution
t = {-3, 6.25}
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