32=(x+7)(x-7)

Solution for 32=(x+7)(x-7) equation:

Simplifying
32 = (x + 7)(x + -7)

Reorder the terms:
32 = (7 + x)(x + -7)

Reorder the terms:
32 = (7 + x)(-7 + x)

Multiply (7 + x) * (-7 + x)
32 = (7(-7 + x) + x(-7 + x))
32 = ((-7 * 7 + x * 7) + x(-7 + x))
32 = ((-49 + 7x) + x(-7 + x))
32 = (-49 + 7x + (-7 * x + x * x))
32 = (-49 + 7x + (-7x + x2))

Combine like terms: 7x + -7x = 0
32 = (-49 + 0 + x2)
32 = (-49 + x2)

Solving
32 = -49 + 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.
32 + -1x2 = -49 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -1x2 = -49 + 0
32 + -1x2 = -49

Add '-32' to each side of the equation.
32 + -32 + -1x2 = -49 + -32

Combine like terms: 32 + -32 = 0
0 + -1x2 = -49 + -32
-1x2 = -49 + -32

Combine like terms: -49 + -32 = -81
-1x2 = -81

Divide each side by '-1'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}