(3y-8)(2y+5)=

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Solution for (3y-8)(2y+5)= equation: 


Simplifying
(3y + -8)(2y + 5) = 0

Reorder the terms:
(-8 + 3y)(2y + 5) = 0

Reorder the terms:
(-8 + 3y)(5 + 2y) = 0

Multiply (-8 + 3y) * (5 + 2y)
(-8(5 + 2y) + 3y * (5 + 2y)) = 0
((5 * -8 + 2y * -8) + 3y * (5 + 2y)) = 0
((-40 + -16y) + 3y * (5 + 2y)) = 0
(-40 + -16y + (5 * 3y + 2y * 3y)) = 0
(-40 + -16y + (15y + 6y2)) = 0

Combine like terms: -16y + 15y = -1y
(-40 + -1y + 6y2) = 0

Solving
-40 + -1y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -2y)(8 + -3y) = 0


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

Simplifying
-5 + -2y = 0

Solving
-5 + -2y = 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 + -2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 0 + 5
-2y = 0 + 5

Combine like terms: 0 + 5 = 5
-2y = 5

Divide each side by '-2'.
y = -2.5

Simplifying
y = -2.5

Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve:

Simplifying
8 + -3y = 0

Solving
8 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 0 + -8
-3y = 0 + -8

Combine like terms: 0 + -8 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667
Solution
y = {-2.5, 2.666666667}

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