(x+55)(x+72)=0

Solution for (x+55)(x+72)=0 equation:

Simplifying
(x + 55)(x + 72) = 0

Reorder the terms:
(55 + x)(x + 72) = 0

Reorder the terms:
(55 + x)(72 + x) = 0

Multiply (55 + x) * (72 + x)
(55(72 + x) + x(72 + x)) = 0
((72 * 55 + x * 55) + x(72 + x)) = 0
((3960 + 55x) + x(72 + x)) = 0
(3960 + 55x + (72 * x + x * x)) = 0
(3960 + 55x + (72x + x2)) = 0

Combine like terms: 55x + 72x = 127x
(3960 + 127x + x2) = 0

Solving
3960 + 127x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(72 + x)(55 + x) = 0

Subproblem 1
Set the factor '(72 + x)' equal to zero and attempt to solve:

Simplifying
72 + x = 0

Solving
72 + x = 0

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

Add '-72' to each side of the equation.
72 + -72 + x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x = 0 + -72
x = 0 + -72

Combine like terms: 0 + -72 = -72
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(55 + x)' equal to zero and attempt to solve:

Simplifying
55 + x = 0

Solving
55 + x = 0

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

Add '-55' to each side of the equation.
55 + -55 + x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + x = 0 + -55
x = 0 + -55

Combine like terms: 0 + -55 = -55
x = -55

Simplifying
x = -55
Solution
x = {-72, -55}