x^2+14x+46-6=0

Solution for x^2+14x+46-6=0 equation:

Simplifying
x2 + 14x + 46 + -6 = 0

Reorder the terms:
46 + -6 + 14x + x2 = 0

Combine like terms: 46 + -6 = 40
40 + 14x + x2 = 0

Solving
40 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(4 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-10, -4}