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Simplifying 2T2 + -1T + -10 = 0 Reorder the terms: -10 + -1T + 2T2 = 0 Solving -10 + -1T + 2T2 = 0 Solving for variable 'T'. Factor a trinomial. (-2 + -1T)(5 + -2T) = 0Subproblem 1
Set the factor '(-2 + -1T)' equal to zero and attempt to solve: Simplifying -2 + -1T = 0 Solving -2 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1T = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1T = 0 + 2 -1T = 0 + 2 Combine like terms: 0 + 2 = 2 -1T = 2 Divide each side by '-1'. T = -2 Simplifying T = -2Subproblem 2
Set the factor '(5 + -2T)' equal to zero and attempt to solve: Simplifying 5 + -2T = 0 Solving 5 + -2T = 0 Move all terms containing T to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2T = 0 + -5 -2T = 0 + -5 Combine like terms: 0 + -5 = -5 -2T = -5 Divide each side by '-2'. T = 2.5 Simplifying T = 2.5Solution
T = {-2, 2.5}
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