-16t^2-23t+110=0

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Solution for -16t^2-23t+110=0 equation:


Simplifying
-16t2 + -23t + 110 = 0

Reorder the terms:
110 + -23t + -16t2 = 0

Solving
110 + -23t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -1t)(55 + 16t) = 0

Subproblem 1

Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2

Subproblem 2

Set the factor '(55 + 16t)' equal to zero and attempt to solve: Simplifying 55 + 16t = 0 Solving 55 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 16t = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 16t = 0 + -55 16t = 0 + -55 Combine like terms: 0 + -55 = -55 16t = -55 Divide each side by '16'. t = -3.4375 Simplifying t = -3.4375

Solution

t = {2, -3.4375}

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