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Simplifying -22t + 5t2 + -48 = 0 Reorder the terms: -48 + -22t + 5t2 = 0 Solving -48 + -22t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -5t)(6 + -1t) = 0Subproblem 1
Set the factor '(-8 + -5t)' equal to zero and attempt to solve: Simplifying -8 + -5t = 0 Solving -8 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 0 + 8 -5t = 0 + 8 Combine like terms: 0 + 8 = 8 -5t = 8 Divide each side by '-5'. t = -1.6 Simplifying t = -1.6Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {-1.6, 6}
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