(x+12)(x-3)=

Solution for (x+12)(x-3)= equation:

Simplifying
(x + 12)(x + -3) = 0

Reorder the terms:
(12 + x)(x + -3) = 0

Reorder the terms:
(12 + x)(-3 + x) = 0

Multiply (12 + x) * (-3 + x)
(12(-3 + x) + x(-3 + x)) = 0
((-3 * 12 + x * 12) + x(-3 + x)) = 0
((-36 + 12x) + x(-3 + x)) = 0
(-36 + 12x + (-3 * x + x * x)) = 0
(-36 + 12x + (-3x + x2)) = 0

Combine like terms: 12x + -3x = 9x
(-36 + 9x + x2) = 0

Solving
-36 + 9x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-12, 3}