(x+5)(x+69)=

Solution for (x+5)(x+69)= equation:

Simplifying
(x + 5)(x + 69) = 0

Reorder the terms:
(5 + x)(x + 69) = 0

Reorder the terms:
(5 + x)(69 + x) = 0

Multiply (5 + x) * (69 + x)
(5(69 + x) + x(69 + x)) = 0
((69 * 5 + x * 5) + x(69 + x)) = 0
((345 + 5x) + x(69 + x)) = 0
(345 + 5x + (69 * x + x * x)) = 0
(345 + 5x + (69x + x2)) = 0

Combine like terms: 5x + 69x = 74x
(345 + 74x + x2) = 0

Solving
345 + 74x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(69 + x)(5 + x) = 0

Subproblem 1
Set the factor '(69 + x)' equal to zero and attempt to solve:

Simplifying
69 + x = 0

Solving
69 + x = 0

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

Add '-69' to each side of the equation.
69 + -69 + x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + x = 0 + -69
x = 0 + -69

Combine like terms: 0 + -69 = -69
x = -69

Simplifying
x = -69
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-69, -5}