(15y+9)(y-5)=

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Solution for (15y+9)(y-5)= equation: 


Simplifying
(15y + 9)(y + -5) = 0

Reorder the terms:
(9 + 15y)(y + -5) = 0

Reorder the terms:
(9 + 15y)(-5 + y) = 0

Multiply (9 + 15y) * (-5 + y)
(9(-5 + y) + 15y * (-5 + y)) = 0
((-5 * 9 + y * 9) + 15y * (-5 + y)) = 0
((-45 + 9y) + 15y * (-5 + y)) = 0
(-45 + 9y + (-5 * 15y + y * 15y)) = 0
(-45 + 9y + (-75y + 15y2)) = 0

Combine like terms: 9y + -75y = -66y
(-45 + -66y + 15y2) = 0

Solving
-45 + -66y + 15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -22y + 5y2) = 0

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

Ignore the factor 3.

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

Simplifying
-3 + -5y = 0

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

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

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

Divide each side by '-5'.
y = -0.6

Simplifying
y = -0.6

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.6, 5}

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