(2v+5)(2v-5)=0

Solution for (2v+5)(2v-5)=0 equation:

Simplifying
(2v + 5)(2v + -5) = 0

Reorder the terms:
(5 + 2v)(2v + -5) = 0

Reorder the terms:
(5 + 2v)(-5 + 2v) = 0

Multiply (5 + 2v) * (-5 + 2v)
(5(-5 + 2v) + 2v * (-5 + 2v)) = 0
((-5 * 5 + 2v * 5) + 2v * (-5 + 2v)) = 0
((-25 + 10v) + 2v * (-5 + 2v)) = 0
(-25 + 10v + (-5 * 2v + 2v * 2v)) = 0
(-25 + 10v + (-10v + 4v2)) = 0

Combine like terms: 10v + -10v = 0
(-25 + 0 + 4v2) = 0
(-25 + 4v2) = 0

Solving
-25 + 4v2 = 0

Solving for variable 'v'.

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

Add '25' to each side of the equation.
-25 + 25 + 4v2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4v2 = 0 + 25
4v2 = 0 + 25

Combine like terms: 0 + 25 = 25
4v2 = 25

Divide each side by '4'.
v2 = 6.25

Simplifying
v2 = 6.25

Take the square root of each side:
v = {-2.5, 2.5}