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

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

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

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

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

Multiply (3 + 5y) * (-3 + 8y)
(3(-3 + 8y) + 5y * (-3 + 8y)) = 0
((-3 * 3 + 8y * 3) + 5y * (-3 + 8y)) = 0
((-9 + 24y) + 5y * (-3 + 8y)) = 0
(-9 + 24y + (-3 * 5y + 8y * 5y)) = 0
(-9 + 24y + (-15y + 40y2)) = 0

Combine like terms: 24y + -15y = 9y
(-9 + 9y + 40y2) = 0

Solving
-9 + 9y + 40y2 = 0

Solving for variable 'y'.

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

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 '(3 + -8y)' equal to zero and attempt to solve:

Simplifying
3 + -8y = 0

Solving
3 + -8y = 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 + -8y = 0 + -3

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

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

Divide each side by '-8'.
y = 0.375

Simplifying
y = 0.375
Solution
y = {-0.6, 0.375}