(2x+10)(x+6)=364

Solution for (2x+10)(x+6)=364 equation:

Simplifying
(2x + 10)(x + 6) = 364

Reorder the terms:
(10 + 2x)(x + 6) = 364

Reorder the terms:
(10 + 2x)(6 + x) = 364

Multiply (10 + 2x) * (6 + x)
(10(6 + x) + 2x * (6 + x)) = 364
((6 * 10 + x * 10) + 2x * (6 + x)) = 364
((60 + 10x) + 2x * (6 + x)) = 364
(60 + 10x + (6 * 2x + x * 2x)) = 364
(60 + 10x + (12x + 2x2)) = 364

Combine like terms: 10x + 12x = 22x
(60 + 22x + 2x2) = 364

Solving
60 + 22x + 2x2 = 364

Solving for variable 'x'.

Reorder the terms:
60 + -364 + 22x + 2x2 = 364 + -364

Combine like terms: 60 + -364 = -304
-304 + 22x + 2x2 = 364 + -364

Combine like terms: 364 + -364 = 0
-304 + 22x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-152 + 11x + x2) = 0

Factor a trinomial.
2((-19 + -1x)(8 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-19, 8}