0=x^2+11x-42

Solution for 0=x^2+11x-42 equation:

Simplifying
0 = x2 + 11x + -42

Reorder the terms:
0 = -42 + 11x + x2

Solving
0 = -42 + 11x + x2

Solving for variable 'x'.

Combine like terms: 0 + 42 = 42
42 + -11x + -1x2 = -42 + 11x + x2 + 42 + -11x + -1x2

Reorder the terms:
42 + -11x + -1x2 = -42 + 42 + 11x + -11x + x2 + -1x2

Combine like terms: -42 + 42 = 0
42 + -11x + -1x2 = 0 + 11x + -11x + x2 + -1x2
42 + -11x + -1x2 = 11x + -11x + x2 + -1x2

Combine like terms: 11x + -11x = 0
42 + -11x + -1x2 = 0 + x2 + -1x2
42 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
42 + -11x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(14 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {3, -14}