(x+6.5)(x-6.5)=0

Solution for (x+6.5)(x-6.5)=0 equation:

Simplifying
(x + 6.5)(x + -6.5) = 0

Reorder the terms:
(6.5 + x)(x + -6.5) = 0

Reorder the terms:
(6.5 + x)(-6.5 + x) = 0

Multiply (6.5 + x) * (-6.5 + x)
(6.5(-6.5 + x) + x(-6.5 + x)) = 0
((-6.5 * 6.5 + x * 6.5) + x(-6.5 + x)) = 0
((-42.25 + 6.5x) + x(-6.5 + x)) = 0
(-42.25 + 6.5x + (-6.5 * x + x * x)) = 0
(-42.25 + 6.5x + (-6.5x + x2)) = 0

Combine like terms: 6.5x + -6.5x = 0.0
(-42.25 + 0.0 + x2) = 0
(-42.25 + x2) = 0

Solving
-42.25 + x2 = 0

Solving for variable 'x'.

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

Add '42.25' to each side of the equation.
-42.25 + 42.25 + x2 = 0 + 42.25

Combine like terms: -42.25 + 42.25 = 0.00
0.00 + x2 = 0 + 42.25
x2 = 0 + 42.25

Combine like terms: 0 + 42.25 = 42.25
x2 = 42.25

Simplifying
x2 = 42.25

Take the square root of each side:
x = {-6.5, 6.5}