-(x^2+14x+33)=0

Solution for -(x^2+14x+33)=0 equation:

Simplifying
-1(x2 + 14x + 33) = 0

Reorder the terms:
-1(33 + 14x + x2) = 0
(33 * -1 + 14x * -1 + x2 * -1) = 0
(-33 + -14x + -1x2) = 0

Solving
-33 + -14x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(33 + 14x + x2) = 0

Factor a trinomial.
-1((11 + x)(3 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {-11, -3}