(x+97)(x+103)=0

Solution for (x+97)(x+103)=0 equation:

Simplifying
(x + 97)(x + 103) = 0

Reorder the terms:
(97 + x)(x + 103) = 0

Reorder the terms:
(97 + x)(103 + x) = 0

Multiply (97 + x) * (103 + x)
(97(103 + x) + x(103 + x)) = 0
((103 * 97 + x * 97) + x(103 + x)) = 0
((9991 + 97x) + x(103 + x)) = 0
(9991 + 97x + (103 * x + x * x)) = 0
(9991 + 97x + (103x + x2)) = 0

Combine like terms: 97x + 103x = 200x
(9991 + 200x + x2) = 0

Solving
9991 + 200x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(103 + x)(97 + x) = 0

Subproblem 1
Set the factor '(103 + x)' equal to zero and attempt to solve:

Simplifying
103 + x = 0

Solving
103 + x = 0

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

Add '-103' to each side of the equation.
103 + -103 + x = 0 + -103

Combine like terms: 103 + -103 = 0
0 + x = 0 + -103
x = 0 + -103

Combine like terms: 0 + -103 = -103
x = -103

Simplifying
x = -103
Subproblem 2
Set the factor '(97 + x)' equal to zero and attempt to solve:

Simplifying
97 + x = 0

Solving
97 + x = 0

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

Add '-97' to each side of the equation.
97 + -97 + x = 0 + -97

Combine like terms: 97 + -97 = 0
0 + x = 0 + -97
x = 0 + -97

Combine like terms: 0 + -97 = -97
x = -97

Simplifying
x = -97
Solution
x = {-103, -97}