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

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

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

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

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

Multiply (3 + 2y) * (-2 + 5y)
(3(-2 + 5y) + 2y * (-2 + 5y)) = 0
((-2 * 3 + 5y * 3) + 2y * (-2 + 5y)) = 0
((-6 + 15y) + 2y * (-2 + 5y)) = 0
(-6 + 15y + (-2 * 2y + 5y * 2y)) = 0
(-6 + 15y + (-4y + 10y2)) = 0

Combine like terms: 15y + -4y = 11y
(-6 + 11y + 10y2) = 0

Solving
-6 + 11y + 10y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 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 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

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

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

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {-1.5, 0.4}