(2y+5)(3y+4)=

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Solution for (2y+5)(3y+4)= equation: 


Simplifying
(2y + 5)(3y + 4) = 0

Reorder the terms:
(5 + 2y)(3y + 4) = 0

Reorder the terms:
(5 + 2y)(4 + 3y) = 0

Multiply (5 + 2y) * (4 + 3y)
(5(4 + 3y) + 2y * (4 + 3y)) = 0
((4 * 5 + 3y * 5) + 2y * (4 + 3y)) = 0
((20 + 15y) + 2y * (4 + 3y)) = 0
(20 + 15y + (4 * 2y + 3y * 2y)) = 0
(20 + 15y + (8y + 6y2)) = 0

Combine like terms: 15y + 8y = 23y
(20 + 23y + 6y2) = 0

Solving
20 + 23y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + 2y)(4 + 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 '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333
Solution
y = {-2.5, -1.333333333}

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