549=-16t^2+184t+20

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Solution for 549=-16t^2+184t+20 equation:


Simplifying
549 = -16t2 + 184t + 20

Reorder the terms:
549 = 20 + 184t + -16t2

Solving
549 = 20 + 184t + -16t2

Solving for variable 't'.

Combine like terms: 549 + -20 = 529
529 + -184t + 16t2 = 20 + 184t + -16t2 + -20 + -184t + 16t2

Reorder the terms:
529 + -184t + 16t2 = 20 + -20 + 184t + -184t + -16t2 + 16t2

Combine like terms: 20 + -20 = 0
529 + -184t + 16t2 = 0 + 184t + -184t + -16t2 + 16t2
529 + -184t + 16t2 = 184t + -184t + -16t2 + 16t2

Combine like terms: 184t + -184t = 0
529 + -184t + 16t2 = 0 + -16t2 + 16t2
529 + -184t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
529 + -184t + 16t2 = 0

Factor a trinomial.
(23 + -4t)(23 + -4t) = 0

Subproblem 1

Set the factor '(23 + -4t)' equal to zero and attempt to solve: Simplifying 23 + -4t = 0 Solving 23 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4t = 0 + -23 -4t = 0 + -23 Combine like terms: 0 + -23 = -23 -4t = -23 Divide each side by '-4'. t = 5.75 Simplifying t = 5.75

Subproblem 2

Set the factor '(23 + -4t)' equal to zero and attempt to solve: Simplifying 23 + -4t = 0 Solving 23 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4t = 0 + -23 -4t = 0 + -23 Combine like terms: 0 + -23 = -23 -4t = -23 Divide each side by '-4'. t = 5.75 Simplifying t = 5.75

Solution

t = {5.75, 5.75}

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