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Simplifying 4t2 + -5t + -21 = 0 Reorder the terms: -21 + -5t + 4t2 = 0 Solving -21 + -5t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -4t)(3 + -1t) = 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 '(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 = 3Solution
t = {-1.75, 3}
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