(2-y)(4y+3)=0

Solution for (2-y)(4y+3)=0 equation:

Simplifying
(2 + -1y)(4y + 3) = 0

Reorder the terms:
(2 + -1y)(3 + 4y) = 0

Multiply (2 + -1y) * (3 + 4y)
(2(3 + 4y) + -1y * (3 + 4y)) = 0
((3 * 2 + 4y * 2) + -1y * (3 + 4y)) = 0
((6 + 8y) + -1y * (3 + 4y)) = 0
(6 + 8y + (3 * -1y + 4y * -1y)) = 0
(6 + 8y + (-3y + -4y2)) = 0

Combine like terms: 8y + -3y = 5y
(6 + 5y + -4y2) = 0

Solving
6 + 5y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -1y)(3 + 4y) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 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 + 4y = 0 + -3

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

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

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {2, -0.75}