105=(x+8)(x-8)

Solution for 105=(x+8)(x-8) equation:

Simplifying
105 = (x + 8)(x + -8)

Reorder the terms:
105 = (8 + x)(x + -8)

Reorder the terms:
105 = (8 + x)(-8 + x)

Multiply (8 + x) * (-8 + x)
105 = (8(-8 + x) + x(-8 + x))
105 = ((-8 * 8 + x * 8) + x(-8 + x))
105 = ((-64 + 8x) + x(-8 + x))
105 = (-64 + 8x + (-8 * x + x * x))
105 = (-64 + 8x + (-8x + x2))

Combine like terms: 8x + -8x = 0
105 = (-64 + 0 + x2)
105 = (-64 + x2)

Solving
105 = -64 + 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.
105 + -1x2 = -64 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
105 + -1x2 = -64 + 0
105 + -1x2 = -64

Add '-105' to each side of the equation.
105 + -105 + -1x2 = -64 + -105

Combine like terms: 105 + -105 = 0
0 + -1x2 = -64 + -105
-1x2 = -64 + -105

Combine like terms: -64 + -105 = -169
-1x2 = -169

Divide each side by '-1'.
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}