6y^2+29y+28=0

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Solution for 6y^2+29y+28=0 equation:


Simplifying
6y2 + 29y + 28 = 0

Reorder the terms:
28 + 29y + 6y2 = 0

Solving
28 + 29y + 6y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 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 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5

Subproblem 2

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

Solution

y = {-3.5, -1.333333333}

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