t(2t+3)=44

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Solution for t(2t+3)=44 equation:


Simplifying
t(2t + 3) = 44

Reorder the terms:
t(3 + 2t) = 44
(3 * t + 2t * t) = 44
(3t + 2t2) = 44

Solving
3t + 2t2 = 44

Solving for variable 't'.

Reorder the terms:
-44 + 3t + 2t2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 3t + 2t2 = 0

Factor a trinomial.
(-11 + -2t)(4 + -1t) = 0

Subproblem 1

Set the factor '(-11 + -2t)' equal to zero and attempt to solve: Simplifying -11 + -2t = 0 Solving -11 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2t = 0 + 11 -2t = 0 + 11 Combine like terms: 0 + 11 = 11 -2t = 11 Divide each side by '-2'. t = -5.5 Simplifying t = -5.5

Subproblem 2

Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4

Solution

t = {-5.5, 4}

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