2y(13-8y)=3

Solution for 2y(13-8y)=3 equation:

Simplifying
2y(13 + -8y) = 3
(13 * 2y + -8y * 2y) = 3
(26y + -16y2) = 3

Solving
26y + -16y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + 26y + -16y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 26y + -16y2 = 0

Factor a trinomial.
(-3 + 2y)(1 + -8y) = 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 '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8y = 0 + -1
-8y = 0 + -1

Combine like terms: 0 + -1 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125
Solution
y = {1.5, 0.125}