(x+1)(x+100)=

Solution for (x+1)(x+100)= equation:

Simplifying
(x + 1)(x + 100) = 0

Reorder the terms:
(1 + x)(x + 100) = 0

Reorder the terms:
(1 + x)(100 + x) = 0

Multiply (1 + x) * (100 + x)
(1(100 + x) + x(100 + x)) = 0
((100 * 1 + x * 1) + x(100 + x)) = 0
((100 + 1x) + x(100 + x)) = 0
(100 + 1x + (100 * x + x * x)) = 0
(100 + 1x + (100x + x2)) = 0

Combine like terms: 1x + 100x = 101x
(100 + 101x + x2) = 0

Solving
100 + 101x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(100 + x)' equal to zero and attempt to solve:

Simplifying
100 + x = 0

Solving
100 + x = 0

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

Add '-100' to each side of the equation.
100 + -100 + x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + x = 0 + -100
x = 0 + -100

Combine like terms: 0 + -100 = -100
x = -100

Simplifying
x = -100
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 = {-100, -1}