(13x-5)(13x+5)=

Solution for (13x-5)(13x+5)= equation:

Simplifying
(13x + -5)(13x + 5) = 0

Reorder the terms:
(-5 + 13x)(13x + 5) = 0

Reorder the terms:
(-5 + 13x)(5 + 13x) = 0

Multiply (-5 + 13x) * (5 + 13x)
(-5(5 + 13x) + 13x * (5 + 13x)) = 0
((5 * -5 + 13x * -5) + 13x * (5 + 13x)) = 0
((-25 + -65x) + 13x * (5 + 13x)) = 0
(-25 + -65x + (5 * 13x + 13x * 13x)) = 0
(-25 + -65x + (65x + 169x2)) = 0

Combine like terms: -65x + 65x = 0
(-25 + 0 + 169x2) = 0
(-25 + 169x2) = 0

Solving
-25 + 169x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 169x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 169x2 = 0 + 25
169x2 = 0 + 25

Combine like terms: 0 + 25 = 25
169x2 = 25

Divide each side by '169'.
x2 = 0.1479289941

Simplifying
x2 = 0.1479289941

Take the square root of each side:
x = {-0.384615385, 0.384615385}