39=(x+5)(x-5)

Solution for 39=(x+5)(x-5) equation:

Simplifying
39 = (x + 5)(x + -5)

Reorder the terms:
39 = (5 + x)(x + -5)

Reorder the terms:
39 = (5 + x)(-5 + x)

Multiply (5 + x) * (-5 + x)
39 = (5(-5 + x) + x(-5 + x))
39 = ((-5 * 5 + x * 5) + x(-5 + x))
39 = ((-25 + 5x) + x(-5 + x))
39 = (-25 + 5x + (-5 * x + x * x))
39 = (-25 + 5x + (-5x + x2))

Combine like terms: 5x + -5x = 0
39 = (-25 + 0 + x2)
39 = (-25 + x2)

Solving
39 = -25 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
39 + -1x2 = -25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
39 + -1x2 = -25 + 0
39 + -1x2 = -25

Add '-39' to each side of the equation.
39 + -39 + -1x2 = -25 + -39

Combine like terms: 39 + -39 = 0
0 + -1x2 = -25 + -39
-1x2 = -25 + -39

Combine like terms: -25 + -39 = -64
-1x2 = -64

Divide each side by '-1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}