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Simplifying 91 + 8t + -3t2 = 0 Solving 91 + 8t + -3t2 = 0 Solving for variable 't'. Factor a trinomial. (7 + -1t)(13 + 3t) = 0Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 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 = {7, -4.333333333}
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