27=(x-3)(x+3)

Solution for 27=(x-3)(x+3) equation:

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

Reorder the terms:
27 = (-3 + x)(x + 3)

Reorder the terms:
27 = (-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
27 = (-3(3 + x) + x(3 + x))
27 = ((3 * -3 + x * -3) + x(3 + x))
27 = ((-9 + -3x) + x(3 + x))
27 = (-9 + -3x + (3 * x + x * x))
27 = (-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
27 = (-9 + 0 + x2)
27 = (-9 + x2)

Solving
27 = -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.
27 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
27 + -1x2 = -9 + 0
27 + -1x2 = -9

Add '-27' to each side of the equation.
27 + -27 + -1x2 = -9 + -27

Combine like terms: 27 + -27 = 0
0 + -1x2 = -9 + -27
-1x2 = -9 + -27

Combine like terms: -9 + -27 = -36
-1x2 = -36

Divide each side by '-1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}