2(8n+5)(8n-5)=0

Solution for 2(8n+5)(8n-5)=0 equation:

Simplifying
2(8n + 5)(8n + -5) = 0

Reorder the terms:
2(5 + 8n)(8n + -5) = 0

Reorder the terms:
2(5 + 8n)(-5 + 8n) = 0

Multiply (5 + 8n) * (-5 + 8n)
2(5(-5 + 8n) + 8n * (-5 + 8n)) = 0
2((-5 * 5 + 8n * 5) + 8n * (-5 + 8n)) = 0
2((-25 + 40n) + 8n * (-5 + 8n)) = 0
2(-25 + 40n + (-5 * 8n + 8n * 8n)) = 0
2(-25 + 40n + (-40n + 64n2)) = 0

Combine like terms: 40n + -40n = 0
2(-25 + 0 + 64n2) = 0
2(-25 + 64n2) = 0
(-25 * 2 + 64n2 * 2) = 0
(-50 + 128n2) = 0

Solving
-50 + 128n2 = 0

Solving for variable 'n'.

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

Add '50' to each side of the equation.
-50 + 50 + 128n2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 128n2 = 0 + 50
128n2 = 0 + 50

Combine like terms: 0 + 50 = 50
128n2 = 50

Divide each side by '128'.
n2 = 0.390625

Simplifying
n2 = 0.390625

Take the square root of each side:
n = {-0.625, 0.625}