(2.5+3y)(2.5-3y)=

Solution for (2.5+3y)(2.5-3y)= equation:

Simplifying
(2.5 + 3y)(2.5 + -3y) = 0

Multiply (2.5 + 3y) * (2.5 + -3y)
(2.5(2.5 + -3y) + 3y * (2.5 + -3y)) = 0
((2.5 * 2.5 + -3y * 2.5) + 3y * (2.5 + -3y)) = 0
((6.25 + -7.5y) + 3y * (2.5 + -3y)) = 0
(6.25 + -7.5y + (2.5 * 3y + -3y * 3y)) = 0
(6.25 + -7.5y + (7.5y + -9y2)) = 0

Combine like terms: -7.5y + 7.5y = 0.0
(6.25 + 0.0 + -9y2) = 0
(6.25 + -9y2) = 0

Solving
6.25 + -9y2 = 0

Solving for variable 'y'.

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

Add '-6.25' to each side of the equation.
6.25 + -6.25 + -9y2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -9y2 = 0 + -6.25
-9y2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-9y2 = -6.25

Divide each side by '-9'.
y2 = 0.6944444444

Simplifying
y2 = 0.6944444444

Take the square root of each side:
y = {-0.833333333, 0.833333333}