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Simplifying 10t2 + 9t = 9 Reorder the terms: 9t + 10t2 = 9 Solving 9t + 10t2 = 9 Solving for variable 't'. Reorder the terms: -9 + 9t + 10t2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 9t + 10t2 = 0 Factor a trinomial. (-3 + -2t)(3 + -5t) = 0Subproblem 1
Set the factor '(-3 + -2t)' equal to zero and attempt to solve: Simplifying -3 + -2t = 0 Solving -3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2t = 0 + 3 -2t = 0 + 3 Combine like terms: 0 + 3 = 3 -2t = 3 Divide each side by '-2'. t = -1.5 Simplifying t = -1.5Subproblem 2
Set the factor '(3 + -5t)' equal to zero and attempt to solve: Simplifying 3 + -5t = 0 Solving 3 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = 0 + -3 -5t = 0 + -3 Combine like terms: 0 + -3 = -3 -5t = -3 Divide each side by '-5'. t = 0.6 Simplifying t = 0.6Solution
t = {-1.5, 0.6}
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