12y^2-29y+14=0

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Solution for 12y^2-29y+14=0 equation:


Simplifying
12y2 + -29y + 14 = 0

Reorder the terms:
14 + -29y + 12y2 = 0

Solving
14 + -29y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -3y)(7 + -4y) = 0

Subproblem 1

Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667

Subproblem 2

Set the factor '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75

Solution

y = {0.6666666667, 1.75}

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