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Simplifying 5t2 + -7t + -264 = 0 Reorder the terms: -264 + -7t + 5t2 = 0 Solving -264 + -7t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (-33 + -5t)(8 + -1t) = 0Subproblem 1
Set the factor '(-33 + -5t)' equal to zero and attempt to solve: Simplifying -33 + -5t = 0 Solving -33 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -5t = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -5t = 0 + 33 -5t = 0 + 33 Combine like terms: 0 + 33 = 33 -5t = 33 Divide each side by '-5'. t = -6.6 Simplifying t = -6.6Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 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 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Solution
t = {-6.6, 8}
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