(x+1)(x+14)=

Solution for (x+1)(x+14)= equation:

Simplifying
(x + 1)(x + 14) = 0

Reorder the terms:
(1 + x)(x + 14) = 0

Reorder the terms:
(1 + x)(14 + x) = 0

Multiply (1 + x) * (14 + x)
(1(14 + x) + x(14 + x)) = 0
((14 * 1 + x * 1) + x(14 + x)) = 0
((14 + 1x) + x(14 + x)) = 0
(14 + 1x + (14 * x + x * x)) = 0
(14 + 1x + (14x + x2)) = 0

Combine like terms: 1x + 14x = 15x
(14 + 15x + x2) = 0

Solving
14 + 15x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-14, -1}