(x+8)(x+15)=198

Solution for (x+8)(x+15)=198 equation:

Simplifying
(x + 8)(x + 15) = 198

Reorder the terms:
(8 + x)(x + 15) = 198

Reorder the terms:
(8 + x)(15 + x) = 198

Multiply (8 + x) * (15 + x)
(8(15 + x) + x(15 + x)) = 198
((15 * 8 + x * 8) + x(15 + x)) = 198
((120 + 8x) + x(15 + x)) = 198
(120 + 8x + (15 * x + x * x)) = 198
(120 + 8x + (15x + x2)) = 198

Combine like terms: 8x + 15x = 23x
(120 + 23x + x2) = 198

Solving
120 + 23x + x2 = 198

Solving for variable 'x'.

Reorder the terms:
120 + -198 + 23x + x2 = 198 + -198

Combine like terms: 120 + -198 = -78
-78 + 23x + x2 = 198 + -198

Combine like terms: 198 + -198 = 0
-78 + 23x + x2 = 0

Factor a trinomial.
(-26 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-26, 3}