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Simplifying 10t2 + -1t = 9 Reorder the terms: -1t + 10t2 = 9 Solving -1t + 10t2 = 9 Solving for variable 't'. Reorder the terms: -9 + -1t + 10t2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -1t + 10t2 = 0 Factor a trinomial. (-9 + -10t)(1 + -1t) = 0Subproblem 1
Set the factor '(-9 + -10t)' equal to zero and attempt to solve: Simplifying -9 + -10t = 0 Solving -9 + -10t = 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 + -10t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10t = 0 + 9 -10t = 0 + 9 Combine like terms: 0 + 9 = 9 -10t = 9 Divide each side by '-10'. t = -0.9 Simplifying t = -0.9Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-0.9, 1}
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