(2t+5)(t+4)=

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Solution for (2t+5)(t+4)= equation:


Simplifying
(2t + 5)(t + 4) = 0

Reorder the terms:
(5 + 2t)(t + 4) = 0

Reorder the terms:
(5 + 2t)(4 + t) = 0

Multiply (5 + 2t) * (4 + t)
(5(4 + t) + 2t * (4 + t)) = 0
((4 * 5 + t * 5) + 2t * (4 + t)) = 0
((20 + 5t) + 2t * (4 + t)) = 0
(20 + 5t + (4 * 2t + t * 2t)) = 0
(20 + 5t + (8t + 2t2)) = 0

Combine like terms: 5t + 8t = 13t
(20 + 13t + 2t2) = 0

Solving
20 + 13t + 2t2 = 0

Solving for variable 't'.

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

Subproblem 1

Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4

Subproblem 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 = -2.5

Solution

t = {-4, -2.5}

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