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

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

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

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

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

Multiply (-3 + y) * (5 + 3y)
(-3(5 + 3y) + y(5 + 3y)) = 0
((5 * -3 + 3y * -3) + y(5 + 3y)) = 0
((-15 + -9y) + y(5 + 3y)) = 0
(-15 + -9y + (5 * y + 3y * y)) = 0
(-15 + -9y + (5y + 3y2)) = 0

Combine like terms: -9y + 5y = -4y
(-15 + -4y + 3y2) = 0

Solving
-15 + -4y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -3y)(3 + -1y) = 0

Subproblem 1
Set the factor '(-5 + -3y)' equal to zero and attempt to solve:

Simplifying
-5 + -3y = 0

Solving
-5 + -3y = 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 + -3y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = 0 + 5
-3y = 0 + 5

Combine like terms: 0 + 5 = 5
-3y = 5

Divide each side by '-3'.
y = -1.666666667

Simplifying
y = -1.666666667
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-1.666666667, 3}