0=x^2+14x+40

Solution for 0=x^2+14x+40 equation:

Simplifying
0 = x2 + 14x + 40

Reorder the terms:
0 = 40 + 14x + x2

Solving
0 = 40 + 14x + x2

Solving for variable 'x'.

Combine like terms: 0 + -40 = -40
-40 + -14x + -1x2 = 40 + 14x + x2 + -40 + -14x + -1x2

Reorder the terms:
-40 + -14x + -1x2 = 40 + -40 + 14x + -14x + x2 + -1x2

Combine like terms: 40 + -40 = 0
-40 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2
-40 + -14x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-40 + -14x + -1x2 = 0 + x2 + -1x2
-40 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-40 + -14x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(40 + 14x + x2) = 0

Factor a trinomial.
-1((10 + x)(4 + x)) = 0

Ignore the factor -1.
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}