(2y-7)(2y+7)=0

Solution for (2y-7)(2y+7)=0 equation:

Simplifying
(2y + -7)(2y + 7) = 0

Reorder the terms:
(-7 + 2y)(2y + 7) = 0

Reorder the terms:
(-7 + 2y)(7 + 2y) = 0

Multiply (-7 + 2y) * (7 + 2y)
(-7(7 + 2y) + 2y * (7 + 2y)) = 0
((7 * -7 + 2y * -7) + 2y * (7 + 2y)) = 0
((-49 + -14y) + 2y * (7 + 2y)) = 0
(-49 + -14y + (7 * 2y + 2y * 2y)) = 0
(-49 + -14y + (14y + 4y2)) = 0

Combine like terms: -14y + 14y = 0
(-49 + 0 + 4y2) = 0
(-49 + 4y2) = 0

Solving
-49 + 4y2 = 0

Solving for variable 'y'.

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

Add '49' to each side of the equation.
-49 + 49 + 4y2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4y2 = 0 + 49
4y2 = 0 + 49

Combine like terms: 0 + 49 = 49
4y2 = 49

Divide each side by '4'.
y2 = 12.25

Simplifying
y2 = 12.25

Take the square root of each side:
y = {-3.5, 3.5}