2t^2+17t+35=0

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Solution for 2t^2+17t+35=0 equation:


Simplifying
2t2 + 17t + 35 = 0

Reorder the terms:
35 + 17t + 2t2 = 0

Solving
35 + 17t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + t)(7 + 2t) = 0

Subproblem 1

Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 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 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5

Subproblem 2

Set the factor '(7 + 2t)' equal to zero and attempt to solve: Simplifying 7 + 2t = 0 Solving 7 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5

Solution

t = {-5, -3.5}

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