28=(x+6)(x-6)

Solution for 28=(x+6)(x-6) equation:

Simplifying
28 = (x + 6)(x + -6)

Reorder the terms:
28 = (6 + x)(x + -6)

Reorder the terms:
28 = (6 + x)(-6 + x)

Multiply (6 + x) * (-6 + x)
28 = (6(-6 + x) + x(-6 + x))
28 = ((-6 * 6 + x * 6) + x(-6 + x))
28 = ((-36 + 6x) + x(-6 + x))
28 = (-36 + 6x + (-6 * x + x * x))
28 = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
28 = (-36 + 0 + x2)
28 = (-36 + x2)

Solving
28 = -36 + 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.
28 + -1x2 = -36 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + -1x2 = -36 + 0
28 + -1x2 = -36

Add '-28' to each side of the equation.
28 + -28 + -1x2 = -36 + -28

Combine like terms: 28 + -28 = 0
0 + -1x2 = -36 + -28
-1x2 = -36 + -28

Combine like terms: -36 + -28 = -64
-1x2 = -64

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

Simplifying
x2 = 64

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