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Simplifying 63 = t2 + -2t Reorder the terms: 63 = -2t + t2 Solving 63 = -2t + t2 Solving for variable 't'. Reorder the terms: 63 + 2t + -1t2 = -2t + 2t + t2 + -1t2 Combine like terms: -2t + 2t = 0 63 + 2t + -1t2 = 0 + t2 + -1t2 63 + 2t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 63 + 2t + -1t2 = 0 Factor a trinomial. (9 + -1t)(7 + t) = 0Subproblem 1
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Subproblem 2
Set the factor '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 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 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Simplifying t = -7Solution
t = {9, -7}
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