(2x+10)(x+9)=0

Solution for (2x+10)(x+9)=0 equation:

Simplifying
(2x + 10)(x + 9) = 0

Reorder the terms:
(10 + 2x)(x + 9) = 0

Reorder the terms:
(10 + 2x)(9 + x) = 0

Multiply (10 + 2x) * (9 + x)
(10(9 + x) + 2x * (9 + x)) = 0
((9 * 10 + x * 10) + 2x * (9 + x)) = 0
((90 + 10x) + 2x * (9 + x)) = 0
(90 + 10x + (9 * 2x + x * 2x)) = 0
(90 + 10x + (18x + 2x2)) = 0

Combine like terms: 10x + 18x = 28x
(90 + 28x + 2x2) = 0

Solving
90 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 14x + x2) = 0

Factor a trinomial.
2((9 + x)(5 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -5}