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Simplifying 4t2 + -5t + -75 = 0 Reorder the terms: -75 + -5t + 4t2 = 0 Solving -75 + -5t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (-15 + -4t)(5 + -1t) = 0Subproblem 1
Set the factor '(-15 + -4t)' equal to zero and attempt to solve: Simplifying -15 + -4t = 0 Solving -15 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4t = 0 + 15 -4t = 0 + 15 Combine like terms: 0 + 15 = 15 -4t = 15 Divide each side by '-4'. t = -3.75 Simplifying t = -3.75Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {-3.75, 5}
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