0=(6y-5)(y+3)

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Solution for 0=(6y-5)(y+3) equation: 


Simplifying
0 = (6y + -5)(y + 3)

Reorder the terms:
0 = (-5 + 6y)(y + 3)

Reorder the terms:
0 = (-5 + 6y)(3 + y)

Multiply (-5 + 6y) * (3 + y)
0 = (-5(3 + y) + 6y * (3 + y))
0 = ((3 * -5 + y * -5) + 6y * (3 + y))
0 = ((-15 + -5y) + 6y * (3 + y))
0 = (-15 + -5y + (3 * 6y + y * 6y))
0 = (-15 + -5y + (18y + 6y2))

Combine like terms: -5y + 18y = 13y
0 = (-15 + 13y + 6y2)

Solving
0 = -15 + 13y + 6y2

Solving for variable 'y'.

Combine like terms: 0 + 15 = 15
15 + -13y + -6y2 = -15 + 13y + 6y2 + 15 + -13y + -6y2

Reorder the terms:
15 + -13y + -6y2 = -15 + 15 + 13y + -13y + 6y2 + -6y2

Combine like terms: -15 + 15 = 0
15 + -13y + -6y2 = 0 + 13y + -13y + 6y2 + -6y2
15 + -13y + -6y2 = 13y + -13y + 6y2 + -6y2

Combine like terms: 13y + -13y = 0
15 + -13y + -6y2 = 0 + 6y2 + -6y2
15 + -13y + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
15 + -13y + -6y2 = 0

Factor a trinomial.
(5 + -6y)(3 + y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 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 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {0.8333333333, -3}

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