14s^2-51s+7=0

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Solution for 14s^2-51s+7=0 equation:


Simplifying
14s2 + -51s + 7 = 0

Reorder the terms:
7 + -51s + 14s2 = 0

Solving
7 + -51s + 14s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -7s)(7 + -2s) = 0

Subproblem 1

Set the factor '(1 + -7s)' equal to zero and attempt to solve: Simplifying 1 + -7s = 0 Solving 1 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7s = 0 + -1 -7s = 0 + -1 Combine like terms: 0 + -1 = -1 -7s = -1 Divide each side by '-7'. s = 0.1428571429 Simplifying s = 0.1428571429

Subproblem 2

Set the factor '(7 + -2s)' equal to zero and attempt to solve: Simplifying 7 + -2s = 0 Solving 7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2s = 0 + -7 -2s = 0 + -7 Combine like terms: 0 + -7 = -7 -2s = -7 Divide each side by '-2'. s = 3.5 Simplifying s = 3.5

Solution

s = {0.1428571429, 3.5}

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