(x+8)(x+6)=288

Solution for (x+8)(x+6)=288 equation:

Simplifying
(x + 8)(x + 6) = 288

Reorder the terms:
(8 + x)(x + 6) = 288

Reorder the terms:
(8 + x)(6 + x) = 288

Multiply (8 + x) * (6 + x)
(8(6 + x) + x(6 + x)) = 288
((6 * 8 + x * 8) + x(6 + x)) = 288
((48 + 8x) + x(6 + x)) = 288
(48 + 8x + (6 * x + x * x)) = 288
(48 + 8x + (6x + x2)) = 288

Combine like terms: 8x + 6x = 14x
(48 + 14x + x2) = 288

Solving
48 + 14x + x2 = 288

Solving for variable 'x'.

Reorder the terms:
48 + -288 + 14x + x2 = 288 + -288

Combine like terms: 48 + -288 = -240
-240 + 14x + x2 = 288 + -288

Combine like terms: 288 + -288 = 0
-240 + 14x + x2 = 0

Factor a trinomial.
(-24 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-24, 10}