14y^2-13y+3=

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Solution for 14y^2-13y+3= equation:


Simplifying
14y2 + -13y + 3 = 0

Reorder the terms:
3 + -13y + 14y2 = 0

Solving
3 + -13y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -7y)(1 + -2y) = 0

Subproblem 1

Set the factor '(3 + -7y)' equal to zero and attempt to solve: Simplifying 3 + -7y = 0 Solving 3 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = 0 + -3 -7y = 0 + -3 Combine like terms: 0 + -3 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286

Subproblem 2

Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5

Solution

y = {0.4285714286, 0.5}

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