6s^2-41s+44=

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Solution for 6s^2-41s+44= equation:


Simplifying
6s2 + -41s + 44 = 0

Reorder the terms:
44 + -41s + 6s2 = 0

Solving
44 + -41s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + -3s)(11 + -2s) = 0

Subproblem 1

Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333

Subproblem 2

Set the factor '(11 + -2s)' equal to zero and attempt to solve: Simplifying 11 + -2s = 0 Solving 11 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2s = 0 + -11 -2s = 0 + -11 Combine like terms: 0 + -11 = -11 -2s = -11 Divide each side by '-2'. s = 5.5 Simplifying s = 5.5

Solution

s = {1.333333333, 5.5}

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