8y^2+61y+35=0

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Solution for 8y^2+61y+35=0 equation: 


Simplifying
8y2 + 61y + 35 = 0

Reorder the terms:
35 + 61y + 8y2 = 0

Solving
35 + 61y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + y)(5 + 8y) = 0


Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 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 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7

Subproblem 2
Set the factor '(5 + 8y)' equal to zero and attempt to solve:

Simplifying
5 + 8y = 0

Solving
5 + 8y = 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 + 8y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8y = 0 + -5
8y = 0 + -5

Combine like terms: 0 + -5 = -5
8y = -5

Divide each side by '8'.
y = -0.625

Simplifying
y = -0.625
Solution
y = {-7, -0.625}

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