(2x+5)(x+6)=72

Solution for (2x+5)(x+6)=72 equation:

Simplifying
(2x + 5)(x + 6) = 72

Reorder the terms:
(5 + 2x)(x + 6) = 72

Reorder the terms:
(5 + 2x)(6 + x) = 72

Multiply (5 + 2x) * (6 + x)
(5(6 + x) + 2x * (6 + x)) = 72
((6 * 5 + x * 5) + 2x * (6 + x)) = 72
((30 + 5x) + 2x * (6 + x)) = 72
(30 + 5x + (6 * 2x + x * 2x)) = 72
(30 + 5x + (12x + 2x2)) = 72

Combine like terms: 5x + 12x = 17x
(30 + 17x + 2x2) = 72

Solving
30 + 17x + 2x2 = 72

Solving for variable 'x'.

Reorder the terms:
30 + -72 + 17x + 2x2 = 72 + -72

Combine like terms: 30 + -72 = -42
-42 + 17x + 2x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-42 + 17x + 2x2 = 0

Factor a trinomial.
(-21 + -2x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve:

Simplifying
-21 + -2x = 0

Solving
-21 + -2x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 0 + 21
-2x = 0 + 21

Combine like terms: 0 + 21 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-10.5, 2}