2t^2-19t+39=0

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Solution for 2t^2-19t+39=0 equation:


Simplifying
2t2 + -19t + 39 = 0

Reorder the terms:
39 + -19t + 2t2 = 0

Solving
39 + -19t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(3 + -1t)(13 + -2t) = 0

Subproblem 1

Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 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 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3

Subproblem 2

Set the factor '(13 + -2t)' equal to zero and attempt to solve: Simplifying 13 + -2t = 0 Solving 13 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2t = 0 + -13 -2t = 0 + -13 Combine like terms: 0 + -13 = -13 -2t = -13 Divide each side by '-2'. t = 6.5 Simplifying t = 6.5

Solution

t = {3, 6.5}

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