7=(x+3)(x-3)

Solution for 7=(x+3)(x-3) equation:

Simplifying
7 = (x + 3)(x + -3)

Reorder the terms:
7 = (3 + x)(x + -3)

Reorder the terms:
7 = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
7 = (3(-3 + x) + x(-3 + x))
7 = ((-3 * 3 + x * 3) + x(-3 + x))
7 = ((-9 + 3x) + x(-3 + x))
7 = (-9 + 3x + (-3 * x + x * x))
7 = (-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
7 = (-9 + 0 + x2)
7 = (-9 + x2)

Solving
7 = -9 + 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.
7 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + -1x2 = -9 + 0
7 + -1x2 = -9

Add '-7' to each side of the equation.
7 + -7 + -1x2 = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = -9 + -7
-1x2 = -9 + -7

Combine like terms: -9 + -7 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}