3T^2-11T+10=0

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Solution for 3T^2-11T+10=0 equation:


Simplifying
3T2 + -11T + 10 = 0

Reorder the terms:
10 + -11T + 3T2 = 0

Solving
10 + -11T + 3T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(5 + -3T)(2 + -1T) = 0

Subproblem 1

Set the factor '(5 + -3T)' equal to zero and attempt to solve: Simplifying 5 + -3T = 0 Solving 5 + -3T = 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 + -3T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3T = 0 + -5 -3T = 0 + -5 Combine like terms: 0 + -5 = -5 -3T = -5 Divide each side by '-3'. T = 1.666666667 Simplifying T = 1.666666667

Subproblem 2

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 = 2

Solution

T = {1.666666667, 2}

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