1296=(x+30-12)(x-12)

Solution for 1296=(x+30-12)(x-12) equation:

Simplifying
1296 = (x + 30 + -12)(x + -12)

Reorder the terms:
1296 = (30 + -12 + x)(x + -12)

Combine like terms: 30 + -12 = 18
1296 = (18 + x)(x + -12)

Reorder the terms:
1296 = (18 + x)(-12 + x)

Multiply (18 + x) * (-12 + x)
1296 = (18(-12 + x) + x(-12 + x))
1296 = ((-12 * 18 + x * 18) + x(-12 + x))
1296 = ((-216 + 18x) + x(-12 + x))
1296 = (-216 + 18x + (-12 * x + x * x))
1296 = (-216 + 18x + (-12x + x2))

Combine like terms: 18x + -12x = 6x
1296 = (-216 + 6x + x2)

Solving
1296 = -216 + 6x + x2

Solving for variable 'x'.

Combine like terms: 1296 + 216 = 1512
1512 + -6x + -1x2 = -216 + 6x + x2 + 216 + -6x + -1x2

Reorder the terms:
1512 + -6x + -1x2 = -216 + 216 + 6x + -6x + x2 + -1x2

Combine like terms: -216 + 216 = 0
1512 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
1512 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
1512 + -6x + -1x2 = 0 + x2 + -1x2
1512 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1512 + -6x + -1x2 = 0

Factor a trinomial.
(36 + -1x)(42 + x) = 0

Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

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

Simplifying
x = 36
Subproblem 2
Set the factor '(42 + x)' equal to zero and attempt to solve:

Simplifying
42 + x = 0

Solving
42 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -42 + x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + x = 0 + -42
x = 0 + -42

Combine like terms: 0 + -42 = -42
x = -42

Simplifying
x = -42
Solution
x = {36, -42}