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Simplifying -3t2 + 52t + -169 = 0 Reorder the terms: -169 + 52t + -3t2 = 0 Solving -169 + 52t + -3t2 = 0 Solving for variable 't'. Factor a trinomial. (-13 + t)(13 + -3t) = 0Subproblem 1
Set the factor '(-13 + t)' equal to zero and attempt to solve: Simplifying -13 + t = 0 Solving -13 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + t = 0 + 13 t = 0 + 13 Combine like terms: 0 + 13 = 13 t = 13 Simplifying t = 13Subproblem 2
Set the factor '(13 + -3t)' equal to zero and attempt to solve: Simplifying 13 + -3t = 0 Solving 13 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3t = 0 + -13 -3t = 0 + -13 Combine like terms: 0 + -13 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333Solution
t = {13, 4.333333333}
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