6y^2+29y+20=

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Solution for 6y^2+29y+20= equation:


Simplifying
6y2 + 29y + 20 = 0

Reorder the terms:
20 + 29y + 6y2 = 0

Solving
20 + 29y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + y)(5 + 6y) = 0

Subproblem 1

Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(5 + 6y)' equal to zero and attempt to solve: Simplifying 5 + 6y = 0 Solving 5 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 0 + -5 6y = 0 + -5 Combine like terms: 0 + -5 = -5 6y = -5 Divide each side by '6'. y = -0.8333333333 Simplifying y = -0.8333333333

Solution

y = {-4, -0.8333333333}

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