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

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

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

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

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

Multiply (-3 + 5y) * (3 + 5y)
(-3(3 + 5y) + 5y * (3 + 5y)) = 0
((3 * -3 + 5y * -3) + 5y * (3 + 5y)) = 0
((-9 + -15y) + 5y * (3 + 5y)) = 0
(-9 + -15y + (3 * 5y + 5y * 5y)) = 0
(-9 + -15y + (15y + 25y2)) = 0

Combine like terms: -15y + 15y = 0
(-9 + 0 + 25y2) = 0
(-9 + 25y2) = 0

Solving
-9 + 25y2 = 0

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 25y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 25y2 = 0 + 9
25y2 = 0 + 9

Combine like terms: 0 + 9 = 9
25y2 = 9

Divide each side by '25'.
y2 = 0.36

Simplifying
y2 = 0.36

Take the square root of each side:
y = {-0.6, 0.6}