0(x)=x^2+11x-12

Solution for 0(x)=x^2+11x-12 equation:

Simplifying
0(x) = x2 + 11x + -12

Anything times zero is zero.
0x = x2 + 11x + -12

Reorder the terms:
0 = -12 + 11x + x2

Solving
0 = -12 + 11x + x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + -11x + -1x2 = -12 + 11x + x2 + 12 + -11x + -1x2

Reorder the terms:
12 + -11x + -1x2 = -12 + 12 + 11x + -11x + x2 + -1x2

Combine like terms: -12 + 12 = 0
12 + -11x + -1x2 = 0 + 11x + -11x + x2 + -1x2
12 + -11x + -1x2 = 11x + -11x + x2 + -1x2

Combine like terms: 11x + -11x = 0
12 + -11x + -1x2 = 0 + x2 + -1x2
12 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -11x + -1x2 = 0

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

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

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {1, -12}